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Finding the Fourth Proportional to 157,236.81, 216,985.88 and 85,616.66

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Solution

The fourth proportional to 157,236.81, 216,985.88 and 85,616.66 is: 118,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,236.81 : 216,985.88 = 85,616.66 : x
  2. Step 2: Convert to fraction form
    157,236.81/216,985.88 = 85,616.66/x
  3. Step 3: Cross multiply
    157,236.81x = 216,985.88 × 85,616.66
  4. Step 4: Simplify right side
    157,236.81x = 18,577,606,312.76
  5. Step 5: Solve for x
    x = 18,577,606,312.76/157,236.81
  6. Step 6: Final answer
    x = 118,150.49

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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.