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Finding the Fourth Proportional to 224,038.36, 309,002.20 and 152,297.47

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Solution

The fourth proportional to 224,038.36, 309,002.20 and 152,297.47 is: 210,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,038.36 : 309,002.20 = 152,297.47 : x
  2. Step 2: Convert to fraction form
    224,038.36/309,002.20 = 152,297.47/x
  3. Step 3: Cross multiply
    224,038.36x = 309,002.20 × 152,297.47
  4. Step 4: Simplify right side
    224,038.36x = 47,060,253,284.43
  5. Step 5: Solve for x
    x = 47,060,253,284.43/224,038.36
  6. Step 6: Final answer
    x = 210,054.44

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