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Finding the Fourth Proportional to 232,078.40, 348,117.60 and 153,281.60

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Solution

The fourth proportional to 232,078.40, 348,117.60 and 153,281.60 is: 229,922.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,078.40 : 348,117.60 = 153,281.60 : x
  2. Step 2: Convert to fraction form
    232,078.40/348,117.60 = 153,281.60/x
  3. Step 3: Cross multiply
    232,078.40x = 348,117.60 × 153,281.60
  4. Step 4: Simplify right side
    232,078.40x = 53,360,022,716.16
  5. Step 5: Solve for x
    x = 53,360,022,716.16/232,078.40
  6. Step 6: Final answer
    x = 229,922.40

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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.