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Finding the Fourth Proportional to 286,527.49, 429,805.50 and 109,048.25

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Solution

The fourth proportional to 286,527.49, 429,805.50 and 109,048.25 is: 163,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,527.49 : 429,805.50 = 109,048.25 : x
  2. Step 2: Convert to fraction form
    286,527.49/429,805.50 = 109,048.25/x
  3. Step 3: Cross multiply
    286,527.49x = 429,805.50 × 109,048.25
  4. Step 4: Simplify right side
    286,527.49x = 46,869,537,615.38
  5. Step 5: Solve for x
    x = 46,869,537,615.38/286,527.49
  6. Step 6: Final answer
    x = 163,577.80

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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.