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Finding the Fourth Proportional to 233,290.17, 349,374.76 and 133,146.78

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Solution

The fourth proportional to 233,290.17, 349,374.76 and 133,146.78 is: 199,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,290.17 : 349,374.76 = 133,146.78 : x
  2. Step 2: Convert to fraction form
    233,290.17/349,374.76 = 133,146.78/x
  3. Step 3: Cross multiply
    233,290.17x = 349,374.76 × 133,146.78
  4. Step 4: Simplify right side
    233,290.17x = 46,518,124,307.27
  5. Step 5: Solve for x
    x = 46,518,124,307.27/233,290.17
  6. Step 6: Final answer
    x = 199,400.28

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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.