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Finding the Fourth Proportional to 114,194.40, 157,624.08 and 78,434.40

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Solution

The fourth proportional to 114,194.40, 157,624.08 and 78,434.40 is: 108,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,194.40 : 157,624.08 = 78,434.40 : x
  2. Step 2: Convert to fraction form
    114,194.40/157,624.08 = 78,434.40/x
  3. Step 3: Cross multiply
    114,194.40x = 157,624.08 × 78,434.40
  4. Step 4: Simplify right side
    114,194.40x = 12,363,150,140.35
  5. Step 5: Solve for x
    x = 12,363,150,140.35/114,194.40
  6. Step 6: Final answer
    x = 108,264.07

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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.