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Finding the Fourth Proportional to 151,575.61, 209,171.58 and 83,598.87

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Solution

The fourth proportional to 151,575.61, 209,171.58 and 83,598.87 is: 115,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,575.61 : 209,171.58 = 83,598.87 : x
  2. Step 2: Convert to fraction form
    151,575.61/209,171.58 = 83,598.87/x
  3. Step 3: Cross multiply
    151,575.61x = 209,171.58 × 83,598.87
  4. Step 4: Simplify right side
    151,575.61x = 17,486,507,724.11
  5. Step 5: Solve for x
    x = 17,486,507,724.11/151,575.61
  6. Step 6: Final answer
    x = 115,364.92

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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.