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Finding the Fourth Proportional to 137,445.40, 206,168.10 and 67,461.40

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Solution

The fourth proportional to 137,445.40, 206,168.10 and 67,461.40 is: 101,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,445.40 : 206,168.10 = 67,461.40 : x
  2. Step 2: Convert to fraction form
    137,445.40/206,168.10 = 67,461.40/x
  3. Step 3: Cross multiply
    137,445.40x = 206,168.10 × 67,461.40
  4. Step 4: Simplify right side
    137,445.40x = 13,908,388,661.34
  5. Step 5: Solve for x
    x = 13,908,388,661.34/137,445.40
  6. Step 6: Final answer
    x = 101,192.10

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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.