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Finding the Fourth Proportional to 237,232.80, 355,978.80 and 97,005.60

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Solution

The fourth proportional to 237,232.80, 355,978.80 and 97,005.60 is: 145,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,232.80 : 355,978.80 = 97,005.60 : x
  2. Step 2: Convert to fraction form
    237,232.80/355,978.80 = 97,005.60/x
  3. Step 3: Cross multiply
    237,232.80x = 355,978.80 × 97,005.60
  4. Step 4: Simplify right side
    237,232.80x = 34,531,937,081.28
  5. Step 5: Solve for x
    x = 34,531,937,081.28/237,232.80
  6. Step 6: Final answer
    x = 145,561.39

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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.