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Finding the Fourth Proportional to 302,038.83, 416,824.29 and 166,083.12

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Solution

The fourth proportional to 302,038.83, 416,824.29 and 166,083.12 is: 229,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,038.83 : 416,824.29 = 166,083.12 : x
  2. Step 2: Convert to fraction form
    302,038.83/416,824.29 = 166,083.12/x
  3. Step 3: Cross multiply
    302,038.83x = 416,824.29 × 166,083.12
  4. Step 4: Simplify right side
    302,038.83x = 69,227,478,574.98
  5. Step 5: Solve for x
    x = 69,227,478,574.98/302,038.83
  6. Step 6: Final answer
    x = 229,200.59

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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.