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Finding the Fourth Proportional to 132,985, 199,477.50 and 59,113

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Solution

The fourth proportional to 132,985, 199,477.50 and 59,113 is: 88,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,985 : 199,477.50 = 59,113 : x
  2. Step 2: Convert to fraction form
    132,985/199,477.50 = 59,113/x
  3. Step 3: Cross multiply
    132,985x = 199,477.50 × 59,113
  4. Step 4: Simplify right side
    132,985x = 11,791,713,457.50
  5. Step 5: Solve for x
    x = 11,791,713,457.50/132,985
  6. Step 6: Final answer
    x = 88,669.50

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Why These Related Problems?

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