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Finding the Fourth Proportional to 227,870.64, 314,405.82 and 141,897.24

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Solution

The fourth proportional to 227,870.64, 314,405.82 and 141,897.24 is: 195,783.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,870.64 : 314,405.82 = 141,897.24 : x
  2. Step 2: Convert to fraction form
    227,870.64/314,405.82 = 141,897.24/x
  3. Step 3: Cross multiply
    227,870.64x = 314,405.82 × 141,897.24
  4. Step 4: Simplify right side
    227,870.64x = 44,613,318,097.94
  5. Step 5: Solve for x
    x = 44,613,318,097.94/227,870.64
  6. Step 6: Final answer
    x = 195,783.53

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Why These Related Problems?

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