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Finding the Fourth Proportional to 124,342.60, 186,569.01 and 65,164.19

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Solution

The fourth proportional to 124,342.60, 186,569.01 and 65,164.19 is: 97,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,342.60 : 186,569.01 = 65,164.19 : x
  2. Step 2: Convert to fraction form
    124,342.60/186,569.01 = 65,164.19/x
  3. Step 3: Cross multiply
    124,342.60x = 186,569.01 × 65,164.19
  4. Step 4: Simplify right side
    124,342.60x = 12,157,618,415.75
  5. Step 5: Solve for x
    x = 12,157,618,415.75/124,342.60
  6. Step 6: Final answer
    x = 97,775.17

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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.