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Finding the Fourth Proportional to 342,094.40, 513,190.20 and 105,412.40

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Solution

The fourth proportional to 342,094.40, 513,190.20 and 105,412.40 is: 158,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,094.40 : 513,190.20 = 105,412.40 : x
  2. Step 2: Convert to fraction form
    342,094.40/513,190.20 = 105,412.40/x
  3. Step 3: Cross multiply
    342,094.40x = 513,190.20 × 105,412.40
  4. Step 4: Simplify right side
    342,094.40x = 54,096,610,638.48
  5. Step 5: Solve for x
    x = 54,096,610,638.48/342,094.40
  6. Step 6: Final answer
    x = 158,133.58

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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.