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Finding the Fourth Proportional to 233,316.34, 349,959.93 and 120,962.86

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Solution

The fourth proportional to 233,316.34, 349,959.93 and 120,962.86 is: 181,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,316.34 : 349,959.93 = 120,962.86 : x
  2. Step 2: Convert to fraction form
    233,316.34/349,959.93 = 120,962.86/x
  3. Step 3: Cross multiply
    233,316.34x = 349,959.93 × 120,962.86
  4. Step 4: Simplify right side
    233,316.34x = 42,332,154,018.20
  5. Step 5: Solve for x
    x = 42,332,154,018.20/233,316.34
  6. Step 6: Final answer
    x = 181,436.73

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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.