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Finding the Fourth Proportional to 302,038.41, 416,804.13 and 166,072.20

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Solution

The fourth proportional to 302,038.41, 416,804.13 and 166,072.20 is: 229,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,038.41 : 416,804.13 = 166,072.20 : x
  2. Step 2: Convert to fraction form
    302,038.41/416,804.13 = 166,072.20/x
  3. Step 3: Cross multiply
    302,038.41x = 416,804.13 × 166,072.20
  4. Step 4: Simplify right side
    302,038.41x = 69,219,578,838.19
  5. Step 5: Solve for x
    x = 69,219,578,838.19/302,038.41
  6. Step 6: Final answer
    x = 229,174.76

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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.