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Finding the Fourth Proportional to 152,427, 210,328.21 and 84,427.10

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Solution

The fourth proportional to 152,427, 210,328.21 and 84,427.10 is: 116,497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,427 : 210,328.21 = 84,427.10 : x
  2. Step 2: Convert to fraction form
    152,427/210,328.21 = 84,427.10/x
  3. Step 3: Cross multiply
    152,427x = 210,328.21 × 84,427.10
  4. Step 4: Simplify right side
    152,427x = 17,757,400,818.49
  5. Step 5: Solve for x
    x = 17,757,400,818.49/152,427
  6. Step 6: Final answer
    x = 116,497.74

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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.