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Finding the Fourth Proportional to 282,693.60, 424,061.04 and 105,200.52

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Solution

The fourth proportional to 282,693.60, 424,061.04 and 105,200.52 is: 157,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,693.60 : 424,061.04 = 105,200.52 : x
  2. Step 2: Convert to fraction form
    282,693.60/424,061.04 = 105,200.52/x
  3. Step 3: Cross multiply
    282,693.60x = 424,061.04 × 105,200.52
  4. Step 4: Simplify right side
    282,693.60x = 44,611,441,919.74
  5. Step 5: Solve for x
    x = 44,611,441,919.74/282,693.60
  6. Step 6: Final answer
    x = 157,808.46

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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.