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Finding the Fourth Proportional to 230,526, 345,925.12 and 97,397.68

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Solution

The fourth proportional to 230,526, 345,925.12 and 97,397.68 is: 146,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,526 : 345,925.12 = 97,397.68 : x
  2. Step 2: Convert to fraction form
    230,526/345,925.12 = 97,397.68/x
  3. Step 3: Cross multiply
    230,526x = 345,925.12 × 97,397.68
  4. Step 4: Simplify right side
    230,526x = 33,692,304,141.72
  5. Step 5: Solve for x
    x = 33,692,304,141.72/230,526
  6. Step 6: Final answer
    x = 146,154.03

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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.