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Finding the Fourth Proportional to 201,857.90, 302,527.65 and 154,877.90

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Solution

The fourth proportional to 201,857.90, 302,527.65 and 154,877.90 is: 232,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,857.90 : 302,527.65 = 154,877.90 : x
  2. Step 2: Convert to fraction form
    201,857.90/302,527.65 = 154,877.90/x
  3. Step 3: Cross multiply
    201,857.90x = 302,527.65 × 154,877.90
  4. Step 4: Simplify right side
    201,857.90x = 46,854,847,123.94
  5. Step 5: Solve for x
    x = 46,854,847,123.94/201,857.90
  6. Step 6: Final answer
    x = 232,117.98

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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.