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Finding the Fourth Proportional to 227,479.64, 314,022.56 and 146,946.42

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Solution

The fourth proportional to 227,479.64, 314,022.56 and 146,946.42 is: 202,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,479.64 : 314,022.56 = 146,946.42 : x
  2. Step 2: Convert to fraction form
    227,479.64/314,022.56 = 146,946.42/x
  3. Step 3: Cross multiply
    227,479.64x = 314,022.56 × 146,946.42
  4. Step 4: Simplify right side
    227,479.64x = 46,144,490,256.50
  5. Step 5: Solve for x
    x = 46,144,490,256.50/227,479.64
  6. Step 6: Final answer
    x = 202,851.08

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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.