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Finding the Fourth Proportional to 160,409.14, 240,478.40 and 101,114.12

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Solution

The fourth proportional to 160,409.14, 240,478.40 and 101,114.12 is: 151,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,409.14 : 240,478.40 = 101,114.12 : x
  2. Step 2: Convert to fraction form
    160,409.14/240,478.40 = 101,114.12/x
  3. Step 3: Cross multiply
    160,409.14x = 240,478.40 × 101,114.12
  4. Step 4: Simplify right side
    160,409.14x = 24,315,761,795.01
  5. Step 5: Solve for x
    x = 24,315,761,795.01/160,409.14
  6. Step 6: Final answer
    x = 151,585.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.