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Finding the Fourth Proportional to 342,129.20, 513,485.40 and 152,880.80

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Solution

The fourth proportional to 342,129.20, 513,485.40 and 152,880.80 is: 229,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,129.20 : 513,485.40 = 152,880.80 : x
  2. Step 2: Convert to fraction form
    342,129.20/513,485.40 = 152,880.80/x
  3. Step 3: Cross multiply
    342,129.20x = 513,485.40 × 152,880.80
  4. Step 4: Simplify right side
    342,129.20x = 78,502,058,740.32
  5. Step 5: Solve for x
    x = 78,502,058,740.32/342,129.20
  6. Step 6: Final answer
    x = 229,451.50

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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.