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Finding the Fourth Proportional to 176,018.31, 242,904.96 and 98,494.02

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Solution

The fourth proportional to 176,018.31, 242,904.96 and 98,494.02 is: 135,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,018.31 : 242,904.96 = 98,494.02 : x
  2. Step 2: Convert to fraction form
    176,018.31/242,904.96 = 98,494.02/x
  3. Step 3: Cross multiply
    176,018.31x = 242,904.96 × 98,494.02
  4. Step 4: Simplify right side
    176,018.31x = 23,924,685,988.34
  5. Step 5: Solve for x
    x = 23,924,685,988.34/176,018.31
  6. Step 6: Final answer
    x = 135,921.58

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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.