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Finding the Fourth Proportional to 153,314.60, 229,971.90 and 53,441.60

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Solution

The fourth proportional to 153,314.60, 229,971.90 and 53,441.60 is: 80,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,314.60 : 229,971.90 = 53,441.60 : x
  2. Step 2: Convert to fraction form
    153,314.60/229,971.90 = 53,441.60/x
  3. Step 3: Cross multiply
    153,314.60x = 229,971.90 × 53,441.60
  4. Step 4: Simplify right side
    153,314.60x = 12,290,066,291.04
  5. Step 5: Solve for x
    x = 12,290,066,291.04/153,314.60
  6. Step 6: Final answer
    x = 80,162.40

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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.