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Finding the Fourth Proportional to 141,696.65, 212,052.90 and 97,409.90

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Solution

The fourth proportional to 141,696.65, 212,052.90 and 97,409.90 is: 145,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,696.65 : 212,052.90 = 97,409.90 : x
  2. Step 2: Convert to fraction form
    141,696.65/212,052.90 = 97,409.90/x
  3. Step 3: Cross multiply
    141,696.65x = 212,052.90 × 97,409.90
  4. Step 4: Simplify right side
    141,696.65x = 20,656,051,783.71
  5. Step 5: Solve for x
    x = 20,656,051,783.71/141,696.65
  6. Step 6: Final answer
    x = 145,776.57

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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.