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Finding the Fourth Proportional to 219,574.32, 303,012.96 and 118,972.32

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Solution

The fourth proportional to 219,574.32, 303,012.96 and 118,972.32 is: 164,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,574.32 : 303,012.96 = 118,972.32 : x
  2. Step 2: Convert to fraction form
    219,574.32/303,012.96 = 118,972.32/x
  3. Step 3: Cross multiply
    219,574.32x = 303,012.96 × 118,972.32
  4. Step 4: Simplify right side
    219,574.32x = 36,050,154,841.27
  5. Step 5: Solve for x
    x = 36,050,154,841.27/219,574.32
  6. Step 6: Final answer
    x = 164,182.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.