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Finding the Fourth Proportional to 127,547.20, 191,102.10 and 83,151.10

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Solution

The fourth proportional to 127,547.20, 191,102.10 and 83,151.10 is: 124,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,547.20 : 191,102.10 = 83,151.10 : x
  2. Step 2: Convert to fraction form
    127,547.20/191,102.10 = 83,151.10/x
  3. Step 3: Cross multiply
    127,547.20x = 191,102.10 × 83,151.10
  4. Step 4: Simplify right side
    127,547.20x = 15,890,349,827.31
  5. Step 5: Solve for x
    x = 15,890,349,827.31/127,547.20
  6. Step 6: Final answer
    x = 124,584.07

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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.