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Finding the Fourth Proportional to 242,530.16, 334,695.18 and 140,563.16

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Solution

The fourth proportional to 242,530.16, 334,695.18 and 140,563.16 is: 193,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,530.16 : 334,695.18 = 140,563.16 : x
  2. Step 2: Convert to fraction form
    242,530.16/334,695.18 = 140,563.16/x
  3. Step 3: Cross multiply
    242,530.16x = 334,695.18 × 140,563.16
  4. Step 4: Simplify right side
    242,530.16x = 47,045,812,137.57
  5. Step 5: Solve for x
    x = 47,045,812,137.57/242,530.16
  6. Step 6: Final answer
    x = 193,979.22

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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.