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Finding the Fourth Proportional to 260,896.77, 360,038.35 and 152,065.50

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Solution

The fourth proportional to 260,896.77, 360,038.35 and 152,065.50 is: 209,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,896.77 : 360,038.35 = 152,065.50 : x
  2. Step 2: Convert to fraction form
    260,896.77/360,038.35 = 152,065.50/x
  3. Step 3: Cross multiply
    260,896.77x = 360,038.35 × 152,065.50
  4. Step 4: Simplify right side
    260,896.77x = 54,749,411,711.93
  5. Step 5: Solve for x
    x = 54,749,411,711.93/260,896.77
  6. Step 6: Final answer
    x = 209,850.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.