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Finding the Fourth Proportional to 153,970.72, 212,433.16 and 89,427.50

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Solution

The fourth proportional to 153,970.72, 212,433.16 and 89,427.50 is: 123,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,970.72 : 212,433.16 = 89,427.50 : x
  2. Step 2: Convert to fraction form
    153,970.72/212,433.16 = 89,427.50/x
  3. Step 3: Cross multiply
    153,970.72x = 212,433.16 × 89,427.50
  4. Step 4: Simplify right side
    153,970.72x = 18,997,366,415.90
  5. Step 5: Solve for x
    x = 18,997,366,415.90/153,970.72
  6. Step 6: Final answer
    x = 123,382.98

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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.