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Finding the Fourth Proportional to 155,281.80, 233,097.90 and 102,793.80

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Solution

The fourth proportional to 155,281.80, 233,097.90 and 102,793.80 is: 154,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,281.80 : 233,097.90 = 102,793.80 : x
  2. Step 2: Convert to fraction form
    155,281.80/233,097.90 = 102,793.80/x
  3. Step 3: Cross multiply
    155,281.80x = 233,097.90 × 102,793.80
  4. Step 4: Simplify right side
    155,281.80x = 23,961,018,913.02
  5. Step 5: Solve for x
    x = 23,961,018,913.02/155,281.80
  6. Step 6: Final answer
    x = 154,306.68

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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.