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Finding the Fourth Proportional to 127,941.72, 191,663.16 and 77,897.76

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Solution

The fourth proportional to 127,941.72, 191,663.16 and 77,897.76 is: 116,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,941.72 : 191,663.16 = 77,897.76 : x
  2. Step 2: Convert to fraction form
    127,941.72/191,663.16 = 77,897.76/x
  3. Step 3: Cross multiply
    127,941.72x = 191,663.16 × 77,897.76
  4. Step 4: Simplify right side
    127,941.72x = 14,930,130,838.52
  5. Step 5: Solve for x
    x = 14,930,130,838.52/127,941.72
  6. Step 6: Final answer
    x = 116,694.78

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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.