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Finding the Fourth Proportional to 304,042.64, 456,071.80 and 144,081.04

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Solution

The fourth proportional to 304,042.64, 456,071.80 and 144,081.04 is: 216,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,042.64 : 456,071.80 = 144,081.04 : x
  2. Step 2: Convert to fraction form
    304,042.64/456,071.80 = 144,081.04/x
  3. Step 3: Cross multiply
    304,042.64x = 456,071.80 × 144,081.04
  4. Step 4: Simplify right side
    304,042.64x = 65,711,299,258.67
  5. Step 5: Solve for x
    x = 65,711,299,258.67/304,042.64
  6. Step 6: Final answer
    x = 216,125.28

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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.