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Finding the Fourth Proportional to 233,151.40, 349,727.10 and 158,307.40

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Solution

The fourth proportional to 233,151.40, 349,727.10 and 158,307.40 is: 237,461.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,151.40 : 349,727.10 = 158,307.40 : x
  2. Step 2: Convert to fraction form
    233,151.40/349,727.10 = 158,307.40/x
  3. Step 3: Cross multiply
    233,151.40x = 349,727.10 × 158,307.40
  4. Step 4: Simplify right side
    233,151.40x = 55,364,387,910.54
  5. Step 5: Solve for x
    x = 55,364,387,910.54/233,151.40
  6. Step 6: Final answer
    x = 237,461.10

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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.