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Finding the Fourth Proportional to 308,088.24, 462,130.92 and 83,448.24

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Solution

The fourth proportional to 308,088.24, 462,130.92 and 83,448.24 is: 125,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,088.24 : 462,130.92 = 83,448.24 : x
  2. Step 2: Convert to fraction form
    308,088.24/462,130.92 = 83,448.24/x
  3. Step 3: Cross multiply
    308,088.24x = 462,130.92 × 83,448.24
  4. Step 4: Simplify right side
    308,088.24x = 38,564,011,923.58
  5. Step 5: Solve for x
    x = 38,564,011,923.58/308,088.24
  6. Step 6: Final answer
    x = 125,171.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.