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Finding the Fourth Proportional to 210,211.90, 314,911.37 and 176,072.52

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Solution

The fourth proportional to 210,211.90, 314,911.37 and 176,072.52 is: 263,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,211.90 : 314,911.37 = 176,072.52 : x
  2. Step 2: Convert to fraction form
    210,211.90/314,911.37 = 176,072.52/x
  3. Step 3: Cross multiply
    210,211.90x = 314,911.37 × 176,072.52
  4. Step 4: Simplify right side
    210,211.90x = 55,447,238,492.55
  5. Step 5: Solve for x
    x = 55,447,238,492.55/210,211.90
  6. Step 6: Final answer
    x = 263,768.31

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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.