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Finding the Fourth Proportional to 102,407.60, 153,611.40 and 97,814.90

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Solution

The fourth proportional to 102,407.60, 153,611.40 and 97,814.90 is: 146,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,407.60 : 153,611.40 = 97,814.90 : x
  2. Step 2: Convert to fraction form
    102,407.60/153,611.40 = 97,814.90/x
  3. Step 3: Cross multiply
    102,407.60x = 153,611.40 × 97,814.90
  4. Step 4: Simplify right side
    102,407.60x = 15,025,483,729.86
  5. Step 5: Solve for x
    x = 15,025,483,729.86/102,407.60
  6. Step 6: Final answer
    x = 146,722.35

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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.