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Finding the Fourth Proportional to 302,000.14, 416,760.45 and 166,036.40

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Solution

The fourth proportional to 302,000.14, 416,760.45 and 166,036.40 is: 229,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,000.14 : 416,760.45 = 166,036.40 : x
  2. Step 2: Convert to fraction form
    302,000.14/416,760.45 = 166,036.40/x
  3. Step 3: Cross multiply
    302,000.14x = 416,760.45 × 166,036.40
  4. Step 4: Simplify right side
    302,000.14x = 69,197,402,696.58
  5. Step 5: Solve for x
    x = 69,197,402,696.58/302,000.14
  6. Step 6: Final answer
    x = 229,130.37

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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.