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Finding the Fourth Proportional to 165,875.94, 248,813.10 and 47,547.90

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Solution

The fourth proportional to 165,875.94, 248,813.10 and 47,547.90 is: 71,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,875.94 : 248,813.10 = 47,547.90 : x
  2. Step 2: Convert to fraction form
    165,875.94/248,813.10 = 47,547.90/x
  3. Step 3: Cross multiply
    165,875.94x = 248,813.10 × 47,547.90
  4. Step 4: Simplify right side
    165,875.94x = 11,830,540,397.49
  5. Step 5: Solve for x
    x = 11,830,540,397.49/165,875.94
  6. Step 6: Final answer
    x = 71,321.62

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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.