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Finding the Fourth Proportional to 106,930.19, 147,411.55 and 72,895.01

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Solution

The fourth proportional to 106,930.19, 147,411.55 and 72,895.01 is: 100,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,930.19 : 147,411.55 = 72,895.01 : x
  2. Step 2: Convert to fraction form
    106,930.19/147,411.55 = 72,895.01/x
  3. Step 3: Cross multiply
    106,930.19x = 147,411.55 × 72,895.01
  4. Step 4: Simplify right side
    106,930.19x = 10,745,565,492.07
  5. Step 5: Solve for x
    x = 10,745,565,492.07/106,930.19
  6. Step 6: Final answer
    x = 100,491.41

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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.