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Finding the Fourth Proportional to 165,476.16, 248,068.80 and 65,706.72

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Solution

The fourth proportional to 165,476.16, 248,068.80 and 65,706.72 is: 98,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,476.16 : 248,068.80 = 65,706.72 : x
  2. Step 2: Convert to fraction form
    165,476.16/248,068.80 = 65,706.72/x
  3. Step 3: Cross multiply
    165,476.16x = 248,068.80 × 65,706.72
  4. Step 4: Simplify right side
    165,476.16x = 16,299,787,182.34
  5. Step 5: Solve for x
    x = 16,299,787,182.34/165,476.16
  6. Step 6: Final answer
    x = 98,502.33

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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.