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Finding the Fourth Proportional to 145,945.71, 201,400.52 and 82,282.59

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Solution

The fourth proportional to 145,945.71, 201,400.52 and 82,282.59 is: 113,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,945.71 : 201,400.52 = 82,282.59 : x
  2. Step 2: Convert to fraction form
    145,945.71/201,400.52 = 82,282.59/x
  3. Step 3: Cross multiply
    145,945.71x = 201,400.52 × 82,282.59
  4. Step 4: Simplify right side
    145,945.71x = 16,571,756,001.53
  5. Step 5: Solve for x
    x = 16,571,756,001.53/145,945.71
  6. Step 6: Final answer
    x = 113,547.40

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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.