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Finding the Fourth Proportional to 152,301.78, 228,506.76 and 68,054.22

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Solution

The fourth proportional to 152,301.78, 228,506.76 and 68,054.22 is: 102,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,301.78 : 228,506.76 = 68,054.22 : x
  2. Step 2: Convert to fraction form
    152,301.78/228,506.76 = 68,054.22/x
  3. Step 3: Cross multiply
    152,301.78x = 228,506.76 × 68,054.22
  4. Step 4: Simplify right side
    152,301.78x = 15,550,849,316.53
  5. Step 5: Solve for x
    x = 15,550,849,316.53/152,301.78
  6. Step 6: Final answer
    x = 102,105.50

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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.