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Finding the Fourth Proportional to 160,047.36, 220,869.86 and 88,432.02

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Solution

The fourth proportional to 160,047.36, 220,869.86 and 88,432.02 is: 122,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,047.36 : 220,869.86 = 88,432.02 : x
  2. Step 2: Convert to fraction form
    160,047.36/220,869.86 = 88,432.02/x
  3. Step 3: Cross multiply
    160,047.36x = 220,869.86 × 88,432.02
  4. Step 4: Simplify right side
    160,047.36x = 19,531,967,434.76
  5. Step 5: Solve for x
    x = 19,531,967,434.76/160,047.36
  6. Step 6: Final answer
    x = 122,038.67

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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.