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Finding the Fourth Proportional to 99,460.84, 149,038.08 and 46,120

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Solution

The fourth proportional to 99,460.84, 149,038.08 and 46,120 is: 69,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,460.84 : 149,038.08 = 46,120 : x
  2. Step 2: Convert to fraction form
    99,460.84/149,038.08 = 46,120/x
  3. Step 3: Cross multiply
    99,460.84x = 149,038.08 × 46,120
  4. Step 4: Simplify right side
    99,460.84x = 6,873,636,249.60
  5. Step 5: Solve for x
    x = 6,873,636,249.60/99,460.84
  6. Step 6: Final answer
    x = 69,108.97

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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.