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Finding the Fourth Proportional to 145,480.81, 200,733.41 and 85,039.76

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Solution

The fourth proportional to 145,480.81, 200,733.41 and 85,039.76 is: 117,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,480.81 : 200,733.41 = 85,039.76 : x
  2. Step 2: Convert to fraction form
    145,480.81/200,733.41 = 85,039.76/x
  3. Step 3: Cross multiply
    145,480.81x = 200,733.41 × 85,039.76
  4. Step 4: Simplify right side
    145,480.81x = 17,070,319,581.52
  5. Step 5: Solve for x
    x = 17,070,319,581.52/145,480.81
  6. Step 6: Final answer
    x = 117,337.26

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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.