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Finding the Fourth Proportional to 152,409.60, 228,452.40 and 73,472.40

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Solution

The fourth proportional to 152,409.60, 228,452.40 and 73,472.40 is: 110,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,409.60 : 228,452.40 = 73,472.40 : x
  2. Step 2: Convert to fraction form
    152,409.60/228,452.40 = 73,472.40/x
  3. Step 3: Cross multiply
    152,409.60x = 228,452.40 × 73,472.40
  4. Step 4: Simplify right side
    152,409.60x = 16,784,946,113.76
  5. Step 5: Solve for x
    x = 16,784,946,113.76/152,409.60
  6. Step 6: Final answer
    x = 110,130.50

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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.