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Finding the Fourth Proportional to 214,227.12, 295,752.88 and 146,345.84

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Solution

The fourth proportional to 214,227.12, 295,752.88 and 146,345.84 is: 202,038.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,227.12 : 295,752.88 = 146,345.84 : x
  2. Step 2: Convert to fraction form
    214,227.12/295,752.88 = 146,345.84/x
  3. Step 3: Cross multiply
    214,227.12x = 295,752.88 × 146,345.84
  4. Step 4: Simplify right side
    214,227.12x = 43,282,203,656.02
  5. Step 5: Solve for x
    x = 43,282,203,656.02/214,227.12
  6. Step 6: Final answer
    x = 202,038.86

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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.