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Finding the Fourth Proportional to 159,897.66, 239,997.18 and 117,648.93

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Solution

The fourth proportional to 159,897.66, 239,997.18 and 117,648.93 is: 176,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,897.66 : 239,997.18 = 117,648.93 : x
  2. Step 2: Convert to fraction form
    159,897.66/239,997.18 = 117,648.93/x
  3. Step 3: Cross multiply
    159,897.66x = 239,997.18 × 117,648.93
  4. Step 4: Simplify right side
    159,897.66x = 28,235,411,430.02
  5. Step 5: Solve for x
    x = 28,235,411,430.02/159,897.66
  6. Step 6: Final answer
    x = 176,584.27

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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.