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Finding the Fourth Proportional to 160,075.56, 220,898.34 and 88,454.10

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Solution

The fourth proportional to 160,075.56, 220,898.34 and 88,454.10 is: 122,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,075.56 : 220,898.34 = 88,454.10 : x
  2. Step 2: Convert to fraction form
    160,075.56/220,898.34 = 88,454.10/x
  3. Step 3: Cross multiply
    160,075.56x = 220,898.34 × 88,454.10
  4. Step 4: Simplify right side
    160,075.56x = 19,539,363,856.19
  5. Step 5: Solve for x
    x = 19,539,363,856.19/160,075.56
  6. Step 6: Final answer
    x = 122,063.38

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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.