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Finding the Fourth Proportional to 342,140.40, 513,210.60 and 92,822.40

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Solution

The fourth proportional to 342,140.40, 513,210.60 and 92,822.40 is: 139,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,140.40 : 513,210.60 = 92,822.40 : x
  2. Step 2: Convert to fraction form
    342,140.40/513,210.60 = 92,822.40/x
  3. Step 3: Cross multiply
    342,140.40x = 513,210.60 × 92,822.40
  4. Step 4: Simplify right side
    342,140.40x = 47,637,439,597.44
  5. Step 5: Solve for x
    x = 47,637,439,597.44/342,140.40
  6. Step 6: Final answer
    x = 139,233.60

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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.