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Finding the Fourth Proportional to 159,897.28, 239,804.14 and 47,547.27

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Solution

The fourth proportional to 159,897.28, 239,804.14 and 47,547.27 is: 71,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,897.28 : 239,804.14 = 47,547.27 : x
  2. Step 2: Convert to fraction form
    159,897.28/239,804.14 = 47,547.27/x
  3. Step 3: Cross multiply
    159,897.28x = 239,804.14 × 47,547.27
  4. Step 4: Simplify right side
    159,897.28x = 11,402,032,191.70
  5. Step 5: Solve for x
    x = 11,402,032,191.70/159,897.28
  6. Step 6: Final answer
    x = 71,308.48

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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.