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Finding the Fourth Proportional to 105,087.40, 157,247.10 and 77,439.40

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Solution

The fourth proportional to 105,087.40, 157,247.10 and 77,439.40 is: 115,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,087.40 : 157,247.10 = 77,439.40 : x
  2. Step 2: Convert to fraction form
    105,087.40/157,247.10 = 77,439.40/x
  3. Step 3: Cross multiply
    105,087.40x = 157,247.10 × 77,439.40
  4. Step 4: Simplify right side
    105,087.40x = 12,177,121,075.74
  5. Step 5: Solve for x
    x = 12,177,121,075.74/105,087.40
  6. Step 6: Final answer
    x = 115,876.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.