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Finding the Fourth Proportional to 261,345.70, 360,635.16 and 146,608.30

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Solution

The fourth proportional to 261,345.70, 360,635.16 and 146,608.30 is: 202,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,345.70 : 360,635.16 = 146,608.30 : x
  2. Step 2: Convert to fraction form
    261,345.70/360,635.16 = 146,608.30/x
  3. Step 3: Cross multiply
    261,345.70x = 360,635.16 × 146,608.30
  4. Step 4: Simplify right side
    261,345.70x = 52,872,107,727.83
  5. Step 5: Solve for x
    x = 52,872,107,727.83/261,345.70
  6. Step 6: Final answer
    x = 202,307.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.