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Finding the Fourth Proportional to 225,943, 338,914.50 and 78,199

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Solution

The fourth proportional to 225,943, 338,914.50 and 78,199 is: 117,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,943 : 338,914.50 = 78,199 : x
  2. Step 2: Convert to fraction form
    225,943/338,914.50 = 78,199/x
  3. Step 3: Cross multiply
    225,943x = 338,914.50 × 78,199
  4. Step 4: Simplify right side
    225,943x = 26,502,774,985.50
  5. Step 5: Solve for x
    x = 26,502,774,985.50/225,943
  6. Step 6: Final answer
    x = 117,298.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.