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Finding the Fourth Proportional to 143,030.32, 197,420.14 and 89,282.98

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Solution

The fourth proportional to 143,030.32, 197,420.14 and 89,282.98 is: 123,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,030.32 : 197,420.14 = 89,282.98 : x
  2. Step 2: Convert to fraction form
    143,030.32/197,420.14 = 89,282.98/x
  3. Step 3: Cross multiply
    143,030.32x = 197,420.14 × 89,282.98
  4. Step 4: Simplify right side
    143,030.32x = 17,626,258,411.22
  5. Step 5: Solve for x
    x = 17,626,258,411.22/143,030.32
  6. Step 6: Final answer
    x = 123,234.42

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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.