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Finding the Fourth Proportional to 157,312.16, 217,094.13 and 85,692.02

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Solution

The fourth proportional to 157,312.16, 217,094.13 and 85,692.02 is: 118,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,312.16 : 217,094.13 = 85,692.02 : x
  2. Step 2: Convert to fraction form
    157,312.16/217,094.13 = 85,692.02/x
  3. Step 3: Cross multiply
    157,312.16x = 217,094.13 × 85,692.02
  4. Step 4: Simplify right side
    157,312.16x = 18,603,234,101.38
  5. Step 5: Solve for x
    x = 18,603,234,101.38/157,312.16
  6. Step 6: Final answer
    x = 118,256.81

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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.