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Finding the Fourth Proportional to 228,078.40, 342,117.60 and 153,428.80

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Solution

The fourth proportional to 228,078.40, 342,117.60 and 153,428.80 is: 230,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,078.40 : 342,117.60 = 153,428.80 : x
  2. Step 2: Convert to fraction form
    228,078.40/342,117.60 = 153,428.80/x
  3. Step 3: Cross multiply
    228,078.40x = 342,117.60 × 153,428.80
  4. Step 4: Simplify right side
    228,078.40x = 52,490,692,826.88
  5. Step 5: Solve for x
    x = 52,490,692,826.88/228,078.40
  6. Step 6: Final answer
    x = 230,143.20

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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.