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Finding the Fourth Proportional to 235,386.42, 353,153.42 and 77,725.60

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Solution

The fourth proportional to 235,386.42, 353,153.42 and 77,725.60 is: 116,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,386.42 : 353,153.42 = 77,725.60 : x
  2. Step 2: Convert to fraction form
    235,386.42/353,153.42 = 77,725.60/x
  3. Step 3: Cross multiply
    235,386.42x = 353,153.42 × 77,725.60
  4. Step 4: Simplify right side
    235,386.42x = 27,449,061,461.55
  5. Step 5: Solve for x
    x = 27,449,061,461.55/235,386.42
  6. Step 6: Final answer
    x = 116,612.77

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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.