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Finding the Fourth Proportional to 115,602.86, 159,581.00 and 70,295.24

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Solution

The fourth proportional to 115,602.86, 159,581.00 and 70,295.24 is: 97,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,602.86 : 159,581.00 = 70,295.24 : x
  2. Step 2: Convert to fraction form
    115,602.86/159,581.00 = 70,295.24/x
  3. Step 3: Cross multiply
    115,602.86x = 159,581.00 × 70,295.24
  4. Step 4: Simplify right side
    115,602.86x = 11,217,785,269.13
  5. Step 5: Solve for x
    x = 11,217,785,269.13/115,602.86
  6. Step 6: Final answer
    x = 97,037.26

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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.