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Finding the Fourth Proportional to 152,854.40, 229,281.60 and 69,748.40

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Solution

The fourth proportional to 152,854.40, 229,281.60 and 69,748.40 is: 104,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,854.40 : 229,281.60 = 69,748.40 : x
  2. Step 2: Convert to fraction form
    152,854.40/229,281.60 = 69,748.40/x
  3. Step 3: Cross multiply
    152,854.40x = 229,281.60 × 69,748.40
  4. Step 4: Simplify right side
    152,854.40x = 15,992,024,749.44
  5. Step 5: Solve for x
    x = 15,992,024,749.44/152,854.40
  6. Step 6: Final answer
    x = 104,622.60

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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.