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Finding the Fourth Proportional to 105,417.17, 145,535.82 and 69,710.75

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Solution

The fourth proportional to 105,417.17, 145,535.82 and 69,710.75 is: 96,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,417.17 : 145,535.82 = 69,710.75 : x
  2. Step 2: Convert to fraction form
    105,417.17/145,535.82 = 69,710.75/x
  3. Step 3: Cross multiply
    105,417.17x = 145,535.82 × 69,710.75
  4. Step 4: Simplify right side
    105,417.17x = 10,145,411,164.07
  5. Step 5: Solve for x
    x = 10,145,411,164.07/105,417.17
  6. Step 6: Final answer
    x = 96,240.60

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