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Finding the Fourth Proportional to 106,830.50, 147,428.30 and 59,087.07

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Solution

The fourth proportional to 106,830.50, 147,428.30 and 59,087.07 is: 81,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,830.50 : 147,428.30 = 59,087.07 : x
  2. Step 2: Convert to fraction form
    106,830.50/147,428.30 = 59,087.07/x
  3. Step 3: Cross multiply
    106,830.50x = 147,428.30 × 59,087.07
  4. Step 4: Simplify right side
    106,830.50x = 8,711,106,429.80
  5. Step 5: Solve for x
    x = 8,711,106,429.80/106,830.50
  6. Step 6: Final answer
    x = 81,541.38

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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.