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Finding the Fourth Proportional to 227,911.53, 314,719.65 and 142,017.11

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Solution

The fourth proportional to 227,911.53, 314,719.65 and 142,017.11 is: 196,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,911.53 : 314,719.65 = 142,017.11 : x
  2. Step 2: Convert to fraction form
    227,911.53/314,719.65 = 142,017.11/x
  3. Step 3: Cross multiply
    227,911.53x = 314,719.65 × 142,017.11
  4. Step 4: Simplify right side
    227,911.53x = 44,695,575,153.21
  5. Step 5: Solve for x
    x = 44,695,575,153.21/227,911.53
  6. Step 6: Final answer
    x = 196,109.32

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1.5x scale

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.