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Finding the Fourth Proportional to 160,038.49, 220,855.44 and 88,420.16

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Solution

The fourth proportional to 160,038.49, 220,855.44 and 88,420.16 is: 122,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,038.49 : 220,855.44 = 88,420.16 : x
  2. Step 2: Convert to fraction form
    160,038.49/220,855.44 = 88,420.16/x
  3. Step 3: Cross multiply
    160,038.49x = 220,855.44 × 88,420.16
  4. Step 4: Simplify right side
    160,038.49x = 19,528,072,899.57
  5. Step 5: Solve for x
    x = 19,528,072,899.57/160,038.49
  6. Step 6: Final answer
    x = 122,021.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.