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Finding the Fourth Proportional to 155,169, 232,767 and 42,849.36

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Solution

The fourth proportional to 155,169, 232,767 and 42,849.36 is: 64,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,169 : 232,767 = 42,849.36 : x
  2. Step 2: Convert to fraction form
    155,169/232,767 = 42,849.36/x
  3. Step 3: Cross multiply
    155,169x = 232,767 × 42,849.36
  4. Step 4: Simplify right side
    155,169x = 9,973,916,979.12
  5. Step 5: Solve for x
    x = 9,973,916,979.12/155,169
  6. Step 6: Final answer
    x = 64,277.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.