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Finding the Fourth Proportional to 301,030.14, 415,422.16 and 166,894.14

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Solution

The fourth proportional to 301,030.14, 415,422.16 and 166,894.14 is: 230,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,030.14 : 415,422.16 = 166,894.14 : x
  2. Step 2: Convert to fraction form
    301,030.14/415,422.16 = 166,894.14/x
  3. Step 3: Cross multiply
    301,030.14x = 415,422.16 × 166,894.14
  4. Step 4: Simplify right side
    301,030.14x = 69,331,524,130.14
  5. Step 5: Solve for x
    x = 69,331,524,130.14/301,030.14
  6. Step 6: Final answer
    x = 230,314.23

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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.