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Finding the Fourth Proportional to 286,199.71, 429,208.40 and 94,029.52

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Solution

The fourth proportional to 286,199.71, 429,208.40 and 94,029.52 is: 141,014.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,199.71 : 429,208.40 = 94,029.52 : x
  2. Step 2: Convert to fraction form
    286,199.71/429,208.40 = 94,029.52/x
  3. Step 3: Cross multiply
    286,199.71x = 429,208.40 × 94,029.52
  4. Step 4: Simplify right side
    286,199.71x = 40,358,258,994.02
  5. Step 5: Solve for x
    x = 40,358,258,994.02/286,199.71
  6. Step 6: Final answer
    x = 141,014.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.