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Finding the Fourth Proportional to 230,641.06, 346,008.28 and 97,521.10

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Solution

The fourth proportional to 230,641.06, 346,008.28 and 97,521.10 is: 146,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,641.06 : 346,008.28 = 97,521.10 : x
  2. Step 2: Convert to fraction form
    230,641.06/346,008.28 = 97,521.10/x
  3. Step 3: Cross multiply
    230,641.06x = 346,008.28 × 97,521.10
  4. Step 4: Simplify right side
    230,641.06x = 33,743,108,074.71
  5. Step 5: Solve for x
    x = 33,743,108,074.71/230,641.06
  6. Step 6: Final answer
    x = 146,301.39

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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.