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Finding the Fourth Proportional to 282,637.62, 424,038.92 and 114,071.88

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Solution

The fourth proportional to 282,637.62, 424,038.92 and 114,071.88 is: 171,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,637.62 : 424,038.92 = 114,071.88 : x
  2. Step 2: Convert to fraction form
    282,637.62/424,038.92 = 114,071.88/x
  3. Step 3: Cross multiply
    282,637.62x = 424,038.92 × 114,071.88
  4. Step 4: Simplify right side
    282,637.62x = 48,370,916,797.57
  5. Step 5: Solve for x
    x = 48,370,916,797.57/282,637.62
  6. Step 6: Final answer
    x = 171,141.11

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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.