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Finding the Fourth Proportional to 158,907.96, 219,113.28 and 101,471.76

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Solution

The fourth proportional to 158,907.96, 219,113.28 and 101,471.76 is: 139,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,907.96 : 219,113.28 = 101,471.76 : x
  2. Step 2: Convert to fraction form
    158,907.96/219,113.28 = 101,471.76/x
  3. Step 3: Cross multiply
    158,907.96x = 219,113.28 × 101,471.76
  4. Step 4: Simplify right side
    158,907.96x = 22,233,810,160.97
  5. Step 5: Solve for x
    x = 22,233,810,160.97/158,907.96
  6. Step 6: Final answer
    x = 139,916.28

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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.