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Finding the Fourth Proportional to 176,142.80, 264,019.80 and 97,313.60

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Solution

The fourth proportional to 176,142.80, 264,019.80 and 97,313.60 is: 145,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,142.80 : 264,019.80 = 97,313.60 : x
  2. Step 2: Convert to fraction form
    176,142.80/264,019.80 = 97,313.60/x
  3. Step 3: Cross multiply
    176,142.80x = 264,019.80 × 97,313.60
  4. Step 4: Simplify right side
    176,142.80x = 25,692,717,209.28
  5. Step 5: Solve for x
    x = 25,692,717,209.28/176,142.80
  6. Step 6: Final answer
    x = 145,863.00

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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.