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Finding the Fourth Proportional to 157,051.89, 216,683.64 and 89,065.35

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Solution

The fourth proportional to 157,051.89, 216,683.64 and 89,065.35 is: 122,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,051.89 : 216,683.64 = 89,065.35 : x
  2. Step 2: Convert to fraction form
    157,051.89/216,683.64 = 89,065.35/x
  3. Step 3: Cross multiply
    157,051.89x = 216,683.64 × 89,065.35
  4. Step 4: Simplify right side
    157,051.89x = 19,299,004,235.87
  5. Step 5: Solve for x
    x = 19,299,004,235.87/157,051.89
  6. Step 6: Final answer
    x = 122,882.98

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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.