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Finding the Fourth Proportional to 106,501.30, 159,751.95 and 105,810.10

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Solution

The fourth proportional to 106,501.30, 159,751.95 and 105,810.10 is: 158,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,501.30 : 159,751.95 = 105,810.10 : x
  2. Step 2: Convert to fraction form
    106,501.30/159,751.95 = 105,810.10/x
  3. Step 3: Cross multiply
    106,501.30x = 159,751.95 × 105,810.10
  4. Step 4: Simplify right side
    106,501.30x = 16,903,369,804.70
  5. Step 5: Solve for x
    x = 16,903,369,804.70/106,501.30
  6. Step 6: Final answer
    x = 158,715.15

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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.