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Finding the Fourth Proportional to 210,101.90, 314,890.05 and 104,950.22

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Solution

The fourth proportional to 210,101.90, 314,890.05 and 104,950.22 is: 157,294.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,101.90 : 314,890.05 = 104,950.22 : x
  2. Step 2: Convert to fraction form
    210,101.90/314,890.05 = 104,950.22/x
  3. Step 3: Cross multiply
    210,101.90x = 314,890.05 × 104,950.22
  4. Step 4: Simplify right side
    210,101.90x = 33,047,780,023.31
  5. Step 5: Solve for x
    x = 33,047,780,023.31/210,101.90
  6. Step 6: Final answer
    x = 157,294.06

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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.