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Finding the Fourth Proportional to 152,383.60, 228,582.60 and 47,276.20

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Solution

The fourth proportional to 152,383.60, 228,582.60 and 47,276.20 is: 70,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,383.60 : 228,582.60 = 47,276.20 : x
  2. Step 2: Convert to fraction form
    152,383.60/228,582.60 = 47,276.20/x
  3. Step 3: Cross multiply
    152,383.60x = 228,582.60 × 47,276.20
  4. Step 4: Simplify right side
    152,383.60x = 10,806,516,714.12
  5. Step 5: Solve for x
    x = 10,806,516,714.12/152,383.60
  6. Step 6: Final answer
    x = 70,916.53

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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.