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Finding the Fourth Proportional to 150,116, 225,117.54 and 61,322.06

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Solution

The fourth proportional to 150,116, 225,117.54 and 61,322.06 is: 91,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,116 : 225,117.54 = 61,322.06 : x
  2. Step 2: Convert to fraction form
    150,116/225,117.54 = 61,322.06/x
  3. Step 3: Cross multiply
    150,116x = 225,117.54 × 61,322.06
  4. Step 4: Simplify right side
    150,116x = 13,804,671,294.93
  5. Step 5: Solve for x
    x = 13,804,671,294.93/150,116
  6. Step 6: Final answer
    x = 91,960.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.