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Finding the Fourth Proportional to 157,113.21, 216,820.86 and 85,497.87

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Solution

The fourth proportional to 157,113.21, 216,820.86 and 85,497.87 is: 117,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,113.21 : 216,820.86 = 85,497.87 : x
  2. Step 2: Convert to fraction form
    157,113.21/216,820.86 = 85,497.87/x
  3. Step 3: Cross multiply
    157,113.21x = 216,820.86 × 85,497.87
  4. Step 4: Simplify right side
    157,113.21x = 18,537,721,701.57
  5. Step 5: Solve for x
    x = 18,537,721,701.57/157,113.21
  6. Step 6: Final answer
    x = 117,989.58

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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.