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Finding the Fourth Proportional to 233,186.42, 349,775.71 and 105,031.42

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Solution

The fourth proportional to 233,186.42, 349,775.71 and 105,031.42 is: 157,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,186.42 : 349,775.71 = 105,031.42 : x
  2. Step 2: Convert to fraction form
    233,186.42/349,775.71 = 105,031.42/x
  3. Step 3: Cross multiply
    233,186.42x = 349,775.71 × 105,031.42
  4. Step 4: Simplify right side
    233,186.42x = 36,737,438,661.19
  5. Step 5: Solve for x
    x = 36,737,438,661.19/233,186.42
  6. Step 6: Final answer
    x = 157,545.36

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1.5x scale

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.