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Finding the Fourth Proportional to 153,407.60, 229,722.60 and 146,409.20

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Solution

The fourth proportional to 153,407.60, 229,722.60 and 146,409.20 is: 219,242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,407.60 : 229,722.60 = 146,409.20 : x
  2. Step 2: Convert to fraction form
    153,407.60/229,722.60 = 146,409.20/x
  3. Step 3: Cross multiply
    153,407.60x = 229,722.60 × 146,409.20
  4. Step 4: Simplify right side
    153,407.60x = 33,633,502,087.92
  5. Step 5: Solve for x
    x = 33,633,502,087.92/153,407.60
  6. Step 6: Final answer
    x = 219,242.74

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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.