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Finding the Fourth Proportional to 302,045.50, 416,812.13 and 166,078.50

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Solution

The fourth proportional to 302,045.50, 416,812.13 and 166,078.50 is: 229,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,045.50 : 416,812.13 = 166,078.50 : x
  2. Step 2: Convert to fraction form
    302,045.50/416,812.13 = 166,078.50/x
  3. Step 3: Cross multiply
    302,045.50x = 416,812.13 × 166,078.50
  4. Step 4: Simplify right side
    302,045.50x = 69,223,533,332.21
  5. Step 5: Solve for x
    x = 69,223,533,332.21/302,045.50
  6. Step 6: Final answer
    x = 229,182.47

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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.