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Finding the Fourth Proportional to 114,181.76, 157,721.42 and 87,652.10

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Solution

The fourth proportional to 114,181.76, 157,721.42 and 87,652.10 is: 121,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,181.76 : 157,721.42 = 87,652.10 : x
  2. Step 2: Convert to fraction form
    114,181.76/157,721.42 = 87,652.10/x
  3. Step 3: Cross multiply
    114,181.76x = 157,721.42 × 87,652.10
  4. Step 4: Simplify right side
    114,181.76x = 13,824,613,677.98
  5. Step 5: Solve for x
    x = 13,824,613,677.98/114,181.76
  6. Step 6: Final answer
    x = 121,075.50

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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.