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Finding the Fourth Proportional to 130,145.60, 195,218.40 and 77,614.40

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Solution

The fourth proportional to 130,145.60, 195,218.40 and 77,614.40 is: 116,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,145.60 : 195,218.40 = 77,614.40 : x
  2. Step 2: Convert to fraction form
    130,145.60/195,218.40 = 77,614.40/x
  3. Step 3: Cross multiply
    130,145.60x = 195,218.40 × 77,614.40
  4. Step 4: Simplify right side
    130,145.60x = 15,151,758,984.96
  5. Step 5: Solve for x
    x = 15,151,758,984.96/130,145.60
  6. Step 6: Final answer
    x = 116,421.60

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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.