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Finding the Fourth Proportional to 212,232.42, 318,352.14 and 169,916.40

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Solution

The fourth proportional to 212,232.42, 318,352.14 and 169,916.40 is: 254,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,232.42 : 318,352.14 = 169,916.40 : x
  2. Step 2: Convert to fraction form
    212,232.42/318,352.14 = 169,916.40/x
  3. Step 3: Cross multiply
    212,232.42x = 318,352.14 × 169,916.40
  4. Step 4: Simplify right side
    212,232.42x = 54,093,249,561.10
  5. Step 5: Solve for x
    x = 54,093,249,561.10/212,232.42
  6. Step 6: Final answer
    x = 254,877.41

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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.