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Finding the Fourth Proportional to 157,086.63, 216,780.45 and 85,467.14

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Solution

The fourth proportional to 157,086.63, 216,780.45 and 85,467.14 is: 117,945.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,086.63 : 216,780.45 = 85,467.14 : x
  2. Step 2: Convert to fraction form
    157,086.63/216,780.45 = 85,467.14/x
  3. Step 3: Cross multiply
    157,086.63x = 216,780.45 × 85,467.14
  4. Step 4: Simplify right side
    157,086.63x = 18,527,603,985.51
  5. Step 5: Solve for x
    x = 18,527,603,985.51/157,086.63
  6. Step 6: Final answer
    x = 117,945.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.