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Finding the Fourth Proportional to 121,294.90, 181,966.65 and 101,709.10

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Solution

The fourth proportional to 121,294.90, 181,966.65 and 101,709.10 is: 152,584.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,294.90 : 181,966.65 = 101,709.10 : x
  2. Step 2: Convert to fraction form
    121,294.90/181,966.65 = 101,709.10/x
  3. Step 3: Cross multiply
    121,294.90x = 181,966.65 × 101,709.10
  4. Step 4: Simplify right side
    121,294.90x = 18,507,664,201.52
  5. Step 5: Solve for x
    x = 18,507,664,201.52/121,294.90
  6. Step 6: Final answer
    x = 152,584.03

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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.