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Finding the Fourth Proportional to 101,411.20, 152,116.80 and 97,328.80

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Solution

The fourth proportional to 101,411.20, 152,116.80 and 97,328.80 is: 145,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,411.20 : 152,116.80 = 97,328.80 : x
  2. Step 2: Convert to fraction form
    101,411.20/152,116.80 = 97,328.80/x
  3. Step 3: Cross multiply
    101,411.20x = 152,116.80 × 97,328.80
  4. Step 4: Simplify right side
    101,411.20x = 14,805,345,603.84
  5. Step 5: Solve for x
    x = 14,805,345,603.84/101,411.20
  6. Step 6: Final answer
    x = 145,993.20

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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.