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Finding the Fourth Proportional to 117,551.88, 176,341.14 and 42,707.16

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Solution

The fourth proportional to 117,551.88, 176,341.14 and 42,707.16 is: 64,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,551.88 : 176,341.14 = 42,707.16 : x
  2. Step 2: Convert to fraction form
    117,551.88/176,341.14 = 42,707.16/x
  3. Step 3: Cross multiply
    117,551.88x = 176,341.14 × 42,707.16
  4. Step 4: Simplify right side
    117,551.88x = 7,531,029,280.56
  5. Step 5: Solve for x
    x = 7,531,029,280.56/117,551.88
  6. Step 6: Final answer
    x = 64,065.58

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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.