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Finding the Fourth Proportional to 145,856.09, 201,265.66 and 89,256.53

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Solution

The fourth proportional to 145,856.09, 201,265.66 and 89,256.53 is: 123,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856.09 : 201,265.66 = 89,256.53 : x
  2. Step 2: Convert to fraction form
    145,856.09/201,265.66 = 89,256.53/x
  3. Step 3: Cross multiply
    145,856.09x = 201,265.66 × 89,256.53
  4. Step 4: Simplify right side
    145,856.09x = 17,964,275,034.49
  5. Step 5: Solve for x
    x = 17,964,275,034.49/145,856.09
  6. Step 6: Final answer
    x = 123,164.38

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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.