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Finding the Fourth Proportional to 145,429.60, 217,875.60 and 82,914.40

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Solution

The fourth proportional to 145,429.60, 217,875.60 and 82,914.40 is: 124,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429.60 : 217,875.60 = 82,914.40 : x
  2. Step 2: Convert to fraction form
    145,429.60/217,875.60 = 82,914.40/x
  3. Step 3: Cross multiply
    145,429.60x = 217,875.60 × 82,914.40
  4. Step 4: Simplify right side
    145,429.60x = 18,065,024,648.64
  5. Step 5: Solve for x
    x = 18,065,024,648.64/145,429.60
  6. Step 6: Final answer
    x = 124,218.35

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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.