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Finding the Fourth Proportional to 176,130.30, 264,001.05 and 97,301.10

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Solution

The fourth proportional to 176,130.30, 264,001.05 and 97,301.10 is: 145,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,130.30 : 264,001.05 = 97,301.10 : x
  2. Step 2: Convert to fraction form
    176,130.30/264,001.05 = 97,301.10/x
  3. Step 3: Cross multiply
    176,130.30x = 264,001.05 × 97,301.10
  4. Step 4: Simplify right side
    176,130.30x = 25,687,592,566.16
  5. Step 5: Solve for x
    x = 25,687,592,566.16/176,130.30
  6. Step 6: Final answer
    x = 145,844.26

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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.