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Finding the Fourth Proportional to 153,271.10, 229,928.20 and 53,416.96

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Solution

The fourth proportional to 153,271.10, 229,928.20 and 53,416.96 is: 80,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,271.10 : 229,928.20 = 53,416.96 : x
  2. Step 2: Convert to fraction form
    153,271.10/229,928.20 = 53,416.96/x
  3. Step 3: Cross multiply
    153,271.10x = 229,928.20 × 53,416.96
  4. Step 4: Simplify right side
    153,271.10x = 12,282,065,462.27
  5. Step 5: Solve for x
    x = 12,282,065,462.27/153,271.10
  6. Step 6: Final answer
    x = 80,132.95

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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.