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Finding the Fourth Proportional to 105,007.80, 157,511.70 and 100,415.10

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Solution

The fourth proportional to 105,007.80, 157,511.70 and 100,415.10 is: 150,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,007.80 : 157,511.70 = 100,415.10 : x
  2. Step 2: Convert to fraction form
    105,007.80/157,511.70 = 100,415.10/x
  3. Step 3: Cross multiply
    105,007.80x = 157,511.70 × 100,415.10
  4. Step 4: Simplify right side
    105,007.80x = 15,816,553,106.67
  5. Step 5: Solve for x
    x = 15,816,553,106.67/105,007.80
  6. Step 6: Final answer
    x = 150,622.65

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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.