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Finding the Fourth Proportional to 153,458.64, 211,773.56 and 89,784.14

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Solution

The fourth proportional to 153,458.64, 211,773.56 and 89,784.14 is: 123,902.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,458.64 : 211,773.56 = 89,784.14 : x
  2. Step 2: Convert to fraction form
    153,458.64/211,773.56 = 89,784.14/x
  3. Step 3: Cross multiply
    153,458.64x = 211,773.56 × 89,784.14
  4. Step 4: Simplify right side
    153,458.64x = 19,013,905,451.55
  5. Step 5: Solve for x
    x = 19,013,905,451.55/153,458.64
  6. Step 6: Final answer
    x = 123,902.48

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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.