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Finding the Fourth Proportional to 105,412.40, 157,734.60 and 77,764.40

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Solution

The fourth proportional to 105,412.40, 157,734.60 and 77,764.40 is: 116,363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,412.40 : 157,734.60 = 77,764.40 : x
  2. Step 2: Convert to fraction form
    105,412.40/157,734.60 = 77,764.40/x
  3. Step 3: Cross multiply
    105,412.40x = 157,734.60 × 77,764.40
  4. Step 4: Simplify right side
    105,412.40x = 12,266,136,528.24
  5. Step 5: Solve for x
    x = 12,266,136,528.24/105,412.40
  6. Step 6: Final answer
    x = 116,363.32

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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.