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Finding the Fourth Proportional to 191,140.80, 286,711.20 and 97,828.80

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Solution

The fourth proportional to 191,140.80, 286,711.20 and 97,828.80 is: 146,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,140.80 : 286,711.20 = 97,828.80 : x
  2. Step 2: Convert to fraction form
    191,140.80/286,711.20 = 97,828.80/x
  3. Step 3: Cross multiply
    191,140.80x = 286,711.20 × 97,828.80
  4. Step 4: Simplify right side
    191,140.80x = 28,048,612,642.56
  5. Step 5: Solve for x
    x = 28,048,612,642.56/191,140.80
  6. Step 6: Final answer
    x = 146,743.20

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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.