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Finding the Fourth Proportional to 105,296.40, 145,262.38 and 62,830.38

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Solution

The fourth proportional to 105,296.40, 145,262.38 and 62,830.38 is: 86,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,296.40 : 145,262.38 = 62,830.38 : x
  2. Step 2: Convert to fraction form
    105,296.40/145,262.38 = 62,830.38/x
  3. Step 3: Cross multiply
    105,296.40x = 145,262.38 × 62,830.38
  4. Step 4: Simplify right side
    105,296.40x = 9,126,890,535.10
  5. Step 5: Solve for x
    x = 9,126,890,535.10/105,296.40
  6. Step 6: Final answer
    x = 86,678.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.