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Finding the Fourth Proportional to 153,200.08, 211,414.02 and 86,132.08

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Solution

The fourth proportional to 153,200.08, 211,414.02 and 86,132.08 is: 118,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,200.08 : 211,414.02 = 86,132.08 : x
  2. Step 2: Convert to fraction form
    153,200.08/211,414.02 = 86,132.08/x
  3. Step 3: Cross multiply
    153,200.08x = 211,414.02 × 86,132.08
  4. Step 4: Simplify right side
    153,200.08x = 18,209,529,283.76
  5. Step 5: Solve for x
    x = 18,209,529,283.76/153,200.08
  6. Step 6: Final answer
    x = 118,861.10

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