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Finding the Fourth Proportional to 314,124.60, 471,014.10 and 136,601.40

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Solution

The fourth proportional to 314,124.60, 471,014.10 and 136,601.40 is: 204,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,124.60 : 471,014.10 = 136,601.40 : x
  2. Step 2: Convert to fraction form
    314,124.60/471,014.10 = 136,601.40/x
  3. Step 3: Cross multiply
    314,124.60x = 471,014.10 × 136,601.40
  4. Step 4: Simplify right side
    314,124.60x = 64,341,185,479.74
  5. Step 5: Solve for x
    x = 64,341,185,479.74/314,124.60
  6. Step 6: Final answer
    x = 204,826.96

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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.