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Finding the Fourth Proportional to 124,221.60, 185,943.60 and 97,783.20

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Solution

The fourth proportional to 124,221.60, 185,943.60 and 97,783.20 is: 146,368.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,221.60 : 185,943.60 = 97,783.20 : x
  2. Step 2: Convert to fraction form
    124,221.60/185,943.60 = 97,783.20/x
  3. Step 3: Cross multiply
    124,221.60x = 185,943.60 × 97,783.20
  4. Step 4: Simplify right side
    124,221.60x = 18,182,160,227.52
  5. Step 5: Solve for x
    x = 18,182,160,227.52/124,221.60
  6. Step 6: Final answer
    x = 146,368.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.