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Finding the Fourth Proportional to 282,386, 423,489.18 and 92,802.62

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Solution

The fourth proportional to 282,386, 423,489.18 and 92,802.62 is: 139,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,386 : 423,489.18 = 92,802.62 : x
  2. Step 2: Convert to fraction form
    282,386/423,489.18 = 92,802.62/x
  3. Step 3: Cross multiply
    282,386x = 423,489.18 × 92,802.62
  4. Step 4: Simplify right side
    282,386x = 39,300,905,445.65
  5. Step 5: Solve for x
    x = 39,300,905,445.65/282,386
  6. Step 6: Final answer
    x = 139,174.41

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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.