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Finding the Fourth Proportional to 192,302.07, 265,376.85 and 107,419.13

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Solution

The fourth proportional to 192,302.07, 265,376.85 and 107,419.13 is: 148,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,302.07 : 265,376.85 = 107,419.13 : x
  2. Step 2: Convert to fraction form
    192,302.07/265,376.85 = 107,419.13/x
  3. Step 3: Cross multiply
    192,302.07x = 265,376.85 × 107,419.13
  4. Step 4: Simplify right side
    192,302.07x = 28,506,549,812.04
  5. Step 5: Solve for x
    x = 28,506,549,812.04/192,302.07
  6. Step 6: Final answer
    x = 148,238.39

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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.