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Finding the Fourth Proportional to 106,862.85, 147,468.06 and 61,539.84

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Solution

The fourth proportional to 106,862.85, 147,468.06 and 61,539.84 is: 84,923.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,862.85 : 147,468.06 = 61,539.84 : x
  2. Step 2: Convert to fraction form
    106,862.85/147,468.06 = 61,539.84/x
  3. Step 3: Cross multiply
    106,862.85x = 147,468.06 × 61,539.84
  4. Step 4: Simplify right side
    106,862.85x = 9,075,160,817.51
  5. Step 5: Solve for x
    x = 9,075,160,817.51/106,862.85
  6. Step 6: Final answer
    x = 84,923.44

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Why These Related Problems?

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