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Finding the Fourth Proportional to 102,617.40, 153,926.10 and 65,219.70

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Solution

The fourth proportional to 102,617.40, 153,926.10 and 65,219.70 is: 97,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,617.40 : 153,926.10 = 65,219.70 : x
  2. Step 2: Convert to fraction form
    102,617.40/153,926.10 = 65,219.70/x
  3. Step 3: Cross multiply
    102,617.40x = 153,926.10 × 65,219.70
  4. Step 4: Simplify right side
    102,617.40x = 10,039,014,064.17
  5. Step 5: Solve for x
    x = 10,039,014,064.17/102,617.40
  6. Step 6: Final answer
    x = 97,829.55

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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.