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Finding the Fourth Proportional to 160,497.76, 221,484.16 and 88,876.24

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Solution

The fourth proportional to 160,497.76, 221,484.16 and 88,876.24 is: 122,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,497.76 : 221,484.16 = 88,876.24 : x
  2. Step 2: Convert to fraction form
    160,497.76/221,484.16 = 88,876.24/x
  3. Step 3: Cross multiply
    160,497.76x = 221,484.16 × 88,876.24
  4. Step 4: Simplify right side
    160,497.76x = 19,684,679,360.36
  5. Step 5: Solve for x
    x = 19,684,679,360.36/160,497.76
  6. Step 6: Final answer
    x = 122,647.69

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1.5x scale

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.