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Finding the Fourth Proportional to 103,505.40, 155,258.10 and 97,381.80

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Solution

The fourth proportional to 103,505.40, 155,258.10 and 97,381.80 is: 146,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,505.40 : 155,258.10 = 97,381.80 : x
  2. Step 2: Convert to fraction form
    103,505.40/155,258.10 = 97,381.80/x
  3. Step 3: Cross multiply
    103,505.40x = 155,258.10 × 97,381.80
  4. Step 4: Simplify right side
    103,505.40x = 15,119,313,242.58
  5. Step 5: Solve for x
    x = 15,119,313,242.58/103,505.40
  6. Step 6: Final answer
    x = 146,072.70

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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.