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Finding the Fourth Proportional to 233,110.06, 349,656.07 and 66,898.06

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Solution

The fourth proportional to 233,110.06, 349,656.07 and 66,898.06 is: 100,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,110.06 : 349,656.07 = 66,898.06 : x
  2. Step 2: Convert to fraction form
    233,110.06/349,656.07 = 66,898.06/x
  3. Step 3: Cross multiply
    233,110.06x = 349,656.07 × 66,898.06
  4. Step 4: Simplify right side
    233,110.06x = 23,391,312,750.22
  5. Step 5: Solve for x
    x = 23,391,312,750.22/233,110.06
  6. Step 6: Final answer
    x = 100,344.50

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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.