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Finding the Fourth Proportional to 153,878.69, 212,352 and 85,895.07

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Solution

The fourth proportional to 153,878.69, 212,352 and 85,895.07 is: 118,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,878.69 : 212,352 = 85,895.07 : x
  2. Step 2: Convert to fraction form
    153,878.69/212,352 = 85,895.07/x
  3. Step 3: Cross multiply
    153,878.69x = 212,352 × 85,895.07
  4. Step 4: Simplify right side
    153,878.69x = 18,239,989,904.64
  5. Step 5: Solve for x
    x = 18,239,989,904.64/153,878.69
  6. Step 6: Final answer
    x = 118,534.87

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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.