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Finding the Fourth Proportional to 160,357.50, 221,293.98 and 96,697.98

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Solution

The fourth proportional to 160,357.50, 221,293.98 and 96,697.98 is: 133,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,357.50 : 221,293.98 = 96,697.98 : x
  2. Step 2: Convert to fraction form
    160,357.50/221,293.98 = 96,697.98/x
  3. Step 3: Cross multiply
    160,357.50x = 221,293.98 × 96,697.98
  4. Step 4: Simplify right side
    160,357.50x = 21,398,680,852.16
  5. Step 5: Solve for x
    x = 21,398,680,852.16/160,357.50
  6. Step 6: Final answer
    x = 133,443.59

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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.