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Finding the Fourth Proportional to 152,603.40, 228,926.70 and 47,411.40

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Solution

The fourth proportional to 152,603.40, 228,926.70 and 47,411.40 is: 71,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,603.40 : 228,926.70 = 47,411.40 : x
  2. Step 2: Convert to fraction form
    152,603.40/228,926.70 = 47,411.40/x
  3. Step 3: Cross multiply
    152,603.40x = 228,926.70 × 47,411.40
  4. Step 4: Simplify right side
    152,603.40x = 10,853,735,344.38
  5. Step 5: Solve for x
    x = 10,853,735,344.38/152,603.40
  6. Step 6: Final answer
    x = 71,123.81

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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.