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Finding the Fourth Proportional to 145,534.66, 200,807.54 and 85,093.57

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Solution

The fourth proportional to 145,534.66, 200,807.54 and 85,093.57 is: 117,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,534.66 : 200,807.54 = 85,093.57 : x
  2. Step 2: Convert to fraction form
    145,534.66/200,807.54 = 85,093.57/x
  3. Step 3: Cross multiply
    145,534.66x = 200,807.54 × 85,093.57
  4. Step 4: Simplify right side
    145,534.66x = 17,087,430,036.05
  5. Step 5: Solve for x
    x = 17,087,430,036.05/145,534.66
  6. Step 6: Final answer
    x = 117,411.41

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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.