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Finding the Fourth Proportional to 106,807.10, 160,210.65 and 51,511.10

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Solution

The fourth proportional to 106,807.10, 160,210.65 and 51,511.10 is: 77,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,807.10 : 160,210.65 = 51,511.10 : x
  2. Step 2: Convert to fraction form
    106,807.10/160,210.65 = 51,511.10/x
  3. Step 3: Cross multiply
    106,807.10x = 160,210.65 × 51,511.10
  4. Step 4: Simplify right side
    106,807.10x = 8,252,626,813.22
  5. Step 5: Solve for x
    x = 8,252,626,813.22/106,807.10
  6. Step 6: Final answer
    x = 77,266.65

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1.5x scale

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.