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Finding the Fourth Proportional to 286,677.80, 429,907.35 and 86,931.80

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Solution

The fourth proportional to 286,677.80, 429,907.35 and 86,931.80 is: 130,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,677.80 : 429,907.35 = 86,931.80 : x
  2. Step 2: Convert to fraction form
    286,677.80/429,907.35 = 86,931.80/x
  3. Step 3: Cross multiply
    286,677.80x = 429,907.35 × 86,931.80
  4. Step 4: Simplify right side
    286,677.80x = 37,372,619,768.73
  5. Step 5: Solve for x
    x = 37,372,619,768.73/286,677.80
  6. Step 6: Final answer
    x = 130,364.54

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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.