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Finding the Fourth Proportional to 506,070.40, 759,113.70 and 132,093.40

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Solution

The fourth proportional to 506,070.40, 759,113.70 and 132,093.40 is: 198,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,070.40 : 759,113.70 = 132,093.40 : x
  2. Step 2: Convert to fraction form
    506,070.40/759,113.70 = 132,093.40/x
  3. Step 3: Cross multiply
    506,070.40x = 759,113.70 × 132,093.40
  4. Step 4: Simplify right side
    506,070.40x = 100,273,909,619.58
  5. Step 5: Solve for x
    x = 100,273,909,619.58/506,070.40
  6. Step 6: Final answer
    x = 198,142.21

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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.