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Finding the Fourth Proportional to 210,363.46, 290,308.53 and 114,877.42

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Solution

The fourth proportional to 210,363.46, 290,308.53 and 114,877.42 is: 158,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,363.46 : 290,308.53 = 114,877.42 : x
  2. Step 2: Convert to fraction form
    210,363.46/290,308.53 = 114,877.42/x
  3. Step 3: Cross multiply
    210,363.46x = 290,308.53 × 114,877.42
  4. Step 4: Simplify right side
    210,363.46x = 33,349,894,930.39
  5. Step 5: Solve for x
    x = 33,349,894,930.39/210,363.46
  6. Step 6: Final answer
    x = 158,534.64

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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.