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Finding the Fourth Proportional to 212,032.35, 292,623.35 and 116,557.65

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Solution

The fourth proportional to 212,032.35, 292,623.35 and 116,557.65 is: 160,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,032.35 : 292,623.35 = 116,557.65 : x
  2. Step 2: Convert to fraction form
    212,032.35/292,623.35 = 116,557.65/x
  3. Step 3: Cross multiply
    212,032.35x = 292,623.35 × 116,557.65
  4. Step 4: Simplify right side
    212,032.35x = 34,107,489,428.34
  5. Step 5: Solve for x
    x = 34,107,489,428.34/212,032.35
  6. Step 6: Final answer
    x = 160,859.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.