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Finding the Fourth Proportional to 106,507, 159,670.26 and 71,339

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Solution

The fourth proportional to 106,507, 159,670.26 and 71,339 is: 106,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,507 : 159,670.26 = 71,339 : x
  2. Step 2: Convert to fraction form
    106,507/159,670.26 = 71,339/x
  3. Step 3: Cross multiply
    106,507x = 159,670.26 × 71,339
  4. Step 4: Simplify right side
    106,507x = 11,390,716,678.14
  5. Step 5: Solve for x
    x = 11,390,716,678.14/106,507
  6. Step 6: Final answer
    x = 106,948.06

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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.