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Finding the Fourth Proportional to 117,400.98, 176,024.86 and 77,298.56

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Solution

The fourth proportional to 117,400.98, 176,024.86 and 77,298.56 is: 115,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,400.98 : 176,024.86 = 77,298.56 : x
  2. Step 2: Convert to fraction form
    117,400.98/176,024.86 = 77,298.56/x
  3. Step 3: Cross multiply
    117,400.98x = 176,024.86 × 77,298.56
  4. Step 4: Simplify right side
    117,400.98x = 13,606,468,202.20
  5. Step 5: Solve for x
    x = 13,606,468,202.20/117,400.98
  6. Step 6: Final answer
    x = 115,897.40

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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.