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Finding the Fourth Proportional to 114,012.48, 157,298.82 and 73,777.12

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Solution

The fourth proportional to 114,012.48, 157,298.82 and 73,777.12 is: 101,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,012.48 : 157,298.82 = 73,777.12 : x
  2. Step 2: Convert to fraction form
    114,012.48/157,298.82 = 73,777.12/x
  3. Step 3: Cross multiply
    114,012.48x = 157,298.82 × 73,777.12
  4. Step 4: Simplify right side
    114,012.48x = 11,605,053,919.00
  5. Step 5: Solve for x
    x = 11,605,053,919.00/114,012.48
  6. Step 6: Final answer
    x = 101,787.58

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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.