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Finding the Fourth Proportional to 358,812.51, 538,294.70 and 106,073.07

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Solution

The fourth proportional to 358,812.51, 538,294.70 and 106,073.07 is: 159,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,812.51 : 538,294.70 = 106,073.07 : x
  2. Step 2: Convert to fraction form
    358,812.51/538,294.70 = 106,073.07/x
  3. Step 3: Cross multiply
    358,812.51x = 538,294.70 × 106,073.07
  4. Step 4: Simplify right side
    358,812.51x = 57,098,571,393.73
  5. Step 5: Solve for x
    x = 57,098,571,393.73/358,812.51
  6. Step 6: Final answer
    x = 159,132.05

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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.