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Finding the Fourth Proportional to 243,814.64, 336,448.40 and 136,366.08

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Solution

The fourth proportional to 243,814.64, 336,448.40 and 136,366.08 is: 188,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,814.64 : 336,448.40 = 136,366.08 : x
  2. Step 2: Convert to fraction form
    243,814.64/336,448.40 = 136,366.08/x
  3. Step 3: Cross multiply
    243,814.64x = 336,448.40 × 136,366.08
  4. Step 4: Simplify right side
    243,814.64x = 45,880,149,430.27
  5. Step 5: Solve for x
    x = 45,880,149,430.27/243,814.64
  6. Step 6: Final answer
    x = 188,176.35

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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.