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Finding the Fourth Proportional to 210,230, 290,123.52 and 114,742.80

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Solution

The fourth proportional to 210,230, 290,123.52 and 114,742.80 is: 158,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,230 : 290,123.52 = 114,742.80 : x
  2. Step 2: Convert to fraction form
    210,230/290,123.52 = 114,742.80/x
  3. Step 3: Cross multiply
    210,230x = 290,123.52 × 114,742.80
  4. Step 4: Simplify right side
    210,230x = 33,289,585,030.66
  5. Step 5: Solve for x
    x = 33,289,585,030.66/210,230
  6. Step 6: Final answer
    x = 158,348.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.