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Finding the Fourth Proportional to 282,712.30, 424,068.45 and 142,744.30

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Solution

The fourth proportional to 282,712.30, 424,068.45 and 142,744.30 is: 214,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,712.30 : 424,068.45 = 142,744.30 : x
  2. Step 2: Convert to fraction form
    282,712.30/424,068.45 = 142,744.30/x
  3. Step 3: Cross multiply
    282,712.30x = 424,068.45 × 142,744.30
  4. Step 4: Simplify right side
    282,712.30x = 60,533,354,047.34
  5. Step 5: Solve for x
    x = 60,533,354,047.34/282,712.30
  6. Step 6: Final answer
    x = 214,116.45

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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.