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Finding the Fourth Proportional to 212,902.60, 319,613.10 and 107,667.40

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Solution

The fourth proportional to 212,902.60, 319,613.10 and 107,667.40 is: 161,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,902.60 : 319,613.10 = 107,667.40 : x
  2. Step 2: Convert to fraction form
    212,902.60/319,613.10 = 107,667.40/x
  3. Step 3: Cross multiply
    212,902.60x = 319,613.10 × 107,667.40
  4. Step 4: Simplify right side
    212,902.60x = 34,411,911,482.94
  5. Step 5: Solve for x
    x = 34,411,911,482.94/212,902.60
  6. Step 6: Final answer
    x = 161,632.18

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