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Finding the Fourth Proportional to 230,332.86, 345,681.54 and 97,304.94

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Solution

The fourth proportional to 230,332.86, 345,681.54 and 97,304.94 is: 146,034.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,332.86 : 345,681.54 = 97,304.94 : x
  2. Step 2: Convert to fraction form
    230,332.86/345,681.54 = 97,304.94/x
  3. Step 3: Cross multiply
    230,332.86x = 345,681.54 × 97,304.94
  4. Step 4: Simplify right side
    230,332.86x = 33,636,521,508.81
  5. Step 5: Solve for x
    x = 33,636,521,508.81/230,332.86
  6. Step 6: Final answer
    x = 146,034.40

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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.