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Finding the Fourth Proportional to 235,482.96, 353,093.22 and 77,669.04

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Solution

The fourth proportional to 235,482.96, 353,093.22 and 77,669.04 is: 116,460.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,482.96 : 353,093.22 = 77,669.04 : x
  2. Step 2: Convert to fraction form
    235,482.96/353,093.22 = 77,669.04/x
  3. Step 3: Cross multiply
    235,482.96x = 353,093.22 × 77,669.04
  4. Step 4: Simplify right side
    235,482.96x = 27,424,411,427.91
  5. Step 5: Solve for x
    x = 27,424,411,427.91/235,482.96
  6. Step 6: Final answer
    x = 116,460.28

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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.