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Finding the Fourth Proportional to 192,210.80, 288,316.20 and 97,732.40

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Solution

The fourth proportional to 192,210.80, 288,316.20 and 97,732.40 is: 146,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,210.80 : 288,316.20 = 97,732.40 : x
  2. Step 2: Convert to fraction form
    192,210.80/288,316.20 = 97,732.40/x
  3. Step 3: Cross multiply
    192,210.80x = 288,316.20 × 97,732.40
  4. Step 4: Simplify right side
    192,210.80x = 28,177,834,184.88
  5. Step 5: Solve for x
    x = 28,177,834,184.88/192,210.80
  6. Step 6: Final answer
    x = 146,598.60

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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.