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Finding the Fourth Proportional to 282,815.48, 424,223.22 and 116,599.16

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Solution

The fourth proportional to 282,815.48, 424,223.22 and 116,599.16 is: 174,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,815.48 : 424,223.22 = 116,599.16 : x
  2. Step 2: Convert to fraction form
    282,815.48/424,223.22 = 116,599.16/x
  3. Step 3: Cross multiply
    282,815.48x = 424,223.22 × 116,599.16
  4. Step 4: Simplify right side
    282,815.48x = 49,464,071,104.50
  5. Step 5: Solve for x
    x = 49,464,071,104.50/282,815.48
  6. Step 6: Final answer
    x = 174,898.74

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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.