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Finding the Fourth Proportional to 239,897.08, 359,970.16 and 97,846.57

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Solution

The fourth proportional to 239,897.08, 359,970.16 and 97,846.57 is: 146,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,897.08 : 359,970.16 = 97,846.57 : x
  2. Step 2: Convert to fraction form
    239,897.08/359,970.16 = 97,846.57/x
  3. Step 3: Cross multiply
    239,897.08x = 359,970.16 × 97,846.57
  4. Step 4: Simplify right side
    239,897.08x = 35,221,845,458.35
  5. Step 5: Solve for x
    x = 35,221,845,458.35/239,897.08
  6. Step 6: Final answer
    x = 146,820.65

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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.