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Finding the Fourth Proportional to 75,897.70, 106,412.30 and 75,897.70

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Solution

The fourth proportional to 75,897.70, 106,412.30 and 75,897.70 is: 106,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,897.70 : 106,412.30 = 75,897.70 : x
  2. Step 2: Convert to fraction form
    75,897.70/106,412.30 = 75,897.70/x
  3. Step 3: Cross multiply
    75,897.70x = 106,412.30 × 75,897.70
  4. Step 4: Simplify right side
    75,897.70x = 8,076,448,821.71
  5. Step 5: Solve for x
    x = 8,076,448,821.71/75,897.70
  6. Step 6: Final answer
    x = 106,412.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.