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Finding the Fourth Proportional to 175,999.89, 242,878.36 and 99,534

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Solution

The fourth proportional to 175,999.89, 242,878.36 and 99,534 is: 137,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,999.89 : 242,878.36 = 99,534 : x
  2. Step 2: Convert to fraction form
    175,999.89/242,878.36 = 99,534/x
  3. Step 3: Cross multiply
    175,999.89x = 242,878.36 × 99,534
  4. Step 4: Simplify right side
    175,999.89x = 24,174,654,186.57
  5. Step 5: Solve for x
    x = 24,174,654,186.57/175,999.89
  6. Step 6: Final answer
    x = 137,356.08

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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.