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Finding the Fourth Proportional to 282,062.94, 423,091.17 and 95,205.66

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Solution

The fourth proportional to 282,062.94, 423,091.17 and 95,205.66 is: 142,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,062.94 : 423,091.17 = 95,205.66 : x
  2. Step 2: Convert to fraction form
    282,062.94/423,091.17 = 95,205.66/x
  3. Step 3: Cross multiply
    282,062.94x = 423,091.17 × 95,205.66
  4. Step 4: Simplify right side
    282,062.94x = 40,280,674,080.02
  5. Step 5: Solve for x
    x = 40,280,674,080.02/282,062.94
  6. Step 6: Final answer
    x = 142,807.40

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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.