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Finding the Fourth Proportional to 153,895.24, 212,349.12 and 85,908.70

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Solution

The fourth proportional to 153,895.24, 212,349.12 and 85,908.70 is: 118,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,895.24 : 212,349.12 = 85,908.70 : x
  2. Step 2: Convert to fraction form
    153,895.24/212,349.12 = 85,908.70/x
  3. Step 3: Cross multiply
    153,895.24x = 212,349.12 × 85,908.70
  4. Step 4: Simplify right side
    153,895.24x = 18,242,636,845.34
  5. Step 5: Solve for x
    x = 18,242,636,845.34/153,895.24
  6. Step 6: Final answer
    x = 118,539.32

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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.