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Finding the Fourth Proportional to 261,533.39, 360,954.12 and 146,859.47

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Solution

The fourth proportional to 261,533.39, 360,954.12 and 146,859.47 is: 202,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,533.39 : 360,954.12 = 146,859.47 : x
  2. Step 2: Convert to fraction form
    261,533.39/360,954.12 = 146,859.47/x
  3. Step 3: Cross multiply
    261,533.39x = 360,954.12 × 146,859.47
  4. Step 4: Simplify right side
    261,533.39x = 53,009,528,952.75
  5. Step 5: Solve for x
    x = 53,009,528,952.75/261,533.39
  6. Step 6: Final answer
    x = 202,687.43

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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.