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Finding the Fourth Proportional to 152,288.64, 228,320.64 and 58,752

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Solution

The fourth proportional to 152,288.64, 228,320.64 and 58,752 is: 88,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,288.64 : 228,320.64 = 58,752 : x
  2. Step 2: Convert to fraction form
    152,288.64/228,320.64 = 58,752/x
  3. Step 3: Cross multiply
    152,288.64x = 228,320.64 × 58,752
  4. Step 4: Simplify right side
    152,288.64x = 13,414,294,241.28
  5. Step 5: Solve for x
    x = 13,414,294,241.28/152,288.64
  6. Step 6: Final answer
    x = 88,084.67

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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.