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Finding the Fourth Proportional to 282,588.65, 423,945.39 and 93,107.42

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Solution

The fourth proportional to 282,588.65, 423,945.39 and 93,107.42 is: 139,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,588.65 : 423,945.39 = 93,107.42 : x
  2. Step 2: Convert to fraction form
    282,588.65/423,945.39 = 93,107.42/x
  3. Step 3: Cross multiply
    282,588.65x = 423,945.39 × 93,107.42
  4. Step 4: Simplify right side
    282,588.65x = 39,472,463,687.71
  5. Step 5: Solve for x
    x = 39,472,463,687.71/282,588.65
  6. Step 6: Final answer
    x = 139,681.70

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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.