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Finding the Fourth Proportional to 260,176.46, 359,061.66 and 145,477.42

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Solution

The fourth proportional to 260,176.46, 359,061.66 and 145,477.42 is: 200,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,176.46 : 359,061.66 = 145,477.42 : x
  2. Step 2: Convert to fraction form
    260,176.46/359,061.66 = 145,477.42/x
  3. Step 3: Cross multiply
    260,176.46x = 359,061.66 × 145,477.42
  4. Step 4: Simplify right side
    260,176.46x = 52,235,363,020.06
  5. Step 5: Solve for x
    x = 52,235,363,020.06/260,176.46
  6. Step 6: Final answer
    x = 200,768.99

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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.