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Finding the Fourth Proportional to 282,056.01, 422,686.22 and 155,753.11

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Solution

The fourth proportional to 282,056.01, 422,686.22 and 155,753.11 is: 233,410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,056.01 : 422,686.22 = 155,753.11 : x
  2. Step 2: Convert to fraction form
    282,056.01/422,686.22 = 155,753.11/x
  3. Step 3: Cross multiply
    282,056.01x = 422,686.22 × 155,753.11
  4. Step 4: Simplify right side
    282,056.01x = 65,834,693,068.74
  5. Step 5: Solve for x
    x = 65,834,693,068.74/282,056.01
  6. Step 6: Final answer
    x = 233,410.00

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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.