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Finding the Fourth Proportional to 500,677.07, 750,925.86 and 140,761.60

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Solution

The fourth proportional to 500,677.07, 750,925.86 and 140,761.60 is: 211,117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,677.07 : 750,925.86 = 140,761.60 : x
  2. Step 2: Convert to fraction form
    500,677.07/750,925.86 = 140,761.60/x
  3. Step 3: Cross multiply
    500,677.07x = 750,925.86 × 140,761.60
  4. Step 4: Simplify right side
    500,677.07x = 105,701,523,129.81
  5. Step 5: Solve for x
    x = 105,701,523,129.81/500,677.07
  6. Step 6: Final answer
    x = 211,117.17

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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.