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Finding the Fourth Proportional to 261,199.52, 360,430.16 and 146,482.86

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Solution

The fourth proportional to 261,199.52, 360,430.16 and 146,482.86 is: 202,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,199.52 : 360,430.16 = 146,482.86 : x
  2. Step 2: Convert to fraction form
    261,199.52/360,430.16 = 146,482.86/x
  3. Step 3: Cross multiply
    261,199.52x = 360,430.16 × 146,482.86
  4. Step 4: Simplify right side
    261,199.52x = 52,796,841,286.26
  5. Step 5: Solve for x
    x = 52,796,841,286.26/261,199.52
  6. Step 6: Final answer
    x = 202,132.23

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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.