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Finding the Fourth Proportional to 282,762.47, 424,174.88 and 83,098.41

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Solution

The fourth proportional to 282,762.47, 424,174.88 and 83,098.41 is: 124,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,762.47 : 424,174.88 = 83,098.41 : x
  2. Step 2: Convert to fraction form
    282,762.47/424,174.88 = 83,098.41/x
  3. Step 3: Cross multiply
    282,762.47x = 424,174.88 × 83,098.41
  4. Step 4: Simplify right side
    282,762.47x = 35,248,256,239.60
  5. Step 5: Solve for x
    x = 35,248,256,239.60/282,762.47
  6. Step 6: Final answer
    x = 124,656.77

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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.