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Finding the Fourth Proportional to 232,903.79, 349,429.53 and 83,140.86

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Solution

The fourth proportional to 232,903.79, 349,429.53 and 83,140.86 is: 124,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,903.79 : 349,429.53 = 83,140.86 : x
  2. Step 2: Convert to fraction form
    232,903.79/349,429.53 = 83,140.86/x
  3. Step 3: Cross multiply
    232,903.79x = 349,429.53 × 83,140.86
  4. Step 4: Simplify right side
    232,903.79x = 29,051,872,788.07
  5. Step 5: Solve for x
    x = 29,051,872,788.07/232,903.79
  6. Step 6: Final answer
    x = 124,737.66

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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.