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Finding the Fourth Proportional to 175,984.80, 263,804.40 and 157,322.40

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Solution

The fourth proportional to 175,984.80, 263,804.40 and 157,322.40 is: 235,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,984.80 : 263,804.40 = 157,322.40 : x
  2. Step 2: Convert to fraction form
    175,984.80/263,804.40 = 157,322.40/x
  3. Step 3: Cross multiply
    175,984.80x = 263,804.40 × 157,322.40
  4. Step 4: Simplify right side
    175,984.80x = 41,502,341,338.56
  5. Step 5: Solve for x
    x = 41,502,341,338.56/175,984.80
  6. Step 6: Final answer
    x = 235,829.12

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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.