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Finding the Fourth Proportional to 175,855.80, 263,897.10 and 97,026.60

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Solution

The fourth proportional to 175,855.80, 263,897.10 and 97,026.60 is: 145,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,855.80 : 263,897.10 = 97,026.60 : x
  2. Step 2: Convert to fraction form
    175,855.80/263,897.10 = 97,026.60/x
  3. Step 3: Cross multiply
    175,855.80x = 263,897.10 × 97,026.60
  4. Step 4: Simplify right side
    175,855.80x = 25,605,038,362.86
  5. Step 5: Solve for x
    x = 25,605,038,362.86/175,855.80
  6. Step 6: Final answer
    x = 145,602.47

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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.