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Finding the Fourth Proportional to 110,970, 153,139.14 and 60,669

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Solution

The fourth proportional to 110,970, 153,139.14 and 60,669 is: 83,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,970 : 153,139.14 = 60,669 : x
  2. Step 2: Convert to fraction form
    110,970/153,139.14 = 60,669/x
  3. Step 3: Cross multiply
    110,970x = 153,139.14 × 60,669
  4. Step 4: Simplify right side
    110,970x = 9,290,798,484.66
  5. Step 5: Solve for x
    x = 9,290,798,484.66/110,970
  6. Step 6: Final answer
    x = 83,723.52

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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.