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Finding the Fourth Proportional to 114,882.96, 172,148.40 and 77,304

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Solution

The fourth proportional to 114,882.96, 172,148.40 and 77,304 is: 115,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,882.96 : 172,148.40 = 77,304 : x
  2. Step 2: Convert to fraction form
    114,882.96/172,148.40 = 77,304/x
  3. Step 3: Cross multiply
    114,882.96x = 172,148.40 × 77,304
  4. Step 4: Simplify right side
    114,882.96x = 13,307,759,913.60
  5. Step 5: Solve for x
    x = 13,307,759,913.60/114,882.96
  6. Step 6: Final answer
    x = 115,837.54

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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.