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Finding the Fourth Proportional to 98,483.64, 135,902.52 and 58,199.28

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Solution

The fourth proportional to 98,483.64, 135,902.52 and 58,199.28 is: 80,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,483.64 : 135,902.52 = 58,199.28 : x
  2. Step 2: Convert to fraction form
    98,483.64/135,902.52 = 58,199.28/x
  3. Step 3: Cross multiply
    98,483.64x = 135,902.52 × 58,199.28
  4. Step 4: Simplify right side
    98,483.64x = 7,909,428,814.19
  5. Step 5: Solve for x
    x = 7,909,428,814.19/98,483.64
  6. Step 6: Final answer
    x = 80,312.11

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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.