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Finding the Fourth Proportional to 142,597, 213,817.02 and 97,670.08

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Solution

The fourth proportional to 142,597, 213,817.02 and 97,670.08 is: 146,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,597 : 213,817.02 = 97,670.08 : x
  2. Step 2: Convert to fraction form
    142,597/213,817.02 = 97,670.08/x
  3. Step 3: Cross multiply
    142,597x = 213,817.02 × 97,670.08
  4. Step 4: Simplify right side
    142,597x = 20,883,525,448.76
  5. Step 5: Solve for x
    x = 20,883,525,448.76/142,597
  6. Step 6: Final answer
    x = 146,451.37

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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.