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Finding the Fourth Proportional to 116,001.72, 160,034.54 and 75,700.98

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Solution

The fourth proportional to 116,001.72, 160,034.54 and 75,700.98 is: 104,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,001.72 : 160,034.54 = 75,700.98 : x
  2. Step 2: Convert to fraction form
    116,001.72/160,034.54 = 75,700.98/x
  3. Step 3: Cross multiply
    116,001.72x = 160,034.54 × 75,700.98
  4. Step 4: Simplify right side
    116,001.72x = 12,114,771,133.34
  5. Step 5: Solve for x
    x = 12,114,771,133.34/116,001.72
  6. Step 6: Final answer
    x = 104,436.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.