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Finding the Fourth Proportional to 176,016.30, 264,024.45 and 97,284.30

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Solution

The fourth proportional to 176,016.30, 264,024.45 and 97,284.30 is: 145,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,016.30 : 264,024.45 = 97,284.30 : x
  2. Step 2: Convert to fraction form
    176,016.30/264,024.45 = 97,284.30/x
  3. Step 3: Cross multiply
    176,016.30x = 264,024.45 × 97,284.30
  4. Step 4: Simplify right side
    176,016.30x = 25,685,433,801.14
  5. Step 5: Solve for x
    x = 25,685,433,801.14/176,016.30
  6. Step 6: Final answer
    x = 145,926.45

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1.5x scale

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.