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Finding the Fourth Proportional to 145,644.68, 218,488.53 and 74,607.50

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Solution

The fourth proportional to 145,644.68, 218,488.53 and 74,607.50 is: 111,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,644.68 : 218,488.53 = 74,607.50 : x
  2. Step 2: Convert to fraction form
    145,644.68/218,488.53 = 74,607.50/x
  3. Step 3: Cross multiply
    145,644.68x = 218,488.53 × 74,607.50
  4. Step 4: Simplify right side
    145,644.68x = 16,300,881,909.53
  5. Step 5: Solve for x
    x = 16,300,881,909.53/145,644.68
  6. Step 6: Final answer
    x = 111,922.26

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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.