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Finding the Fourth Proportional to 114,363.16, 157,624.12 and 76,054.24

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Solution

The fourth proportional to 114,363.16, 157,624.12 and 76,054.24 is: 104,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,363.16 : 157,624.12 = 76,054.24 : x
  2. Step 2: Convert to fraction form
    114,363.16/157,624.12 = 76,054.24/x
  3. Step 3: Cross multiply
    114,363.16x = 157,624.12 × 76,054.24
  4. Step 4: Simplify right side
    114,363.16x = 11,987,982,652.27
  5. Step 5: Solve for x
    x = 11,987,982,652.27/114,363.16
  6. Step 6: Final answer
    x = 104,823.81

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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.