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Finding the Fourth Proportional to 260,029.84, 358,734.32 and 158,038.87

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Solution

The fourth proportional to 260,029.84, 358,734.32 and 158,038.87 is: 218,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,029.84 : 358,734.32 = 158,038.87 : x
  2. Step 2: Convert to fraction form
    260,029.84/358,734.32 = 158,038.87/x
  3. Step 3: Cross multiply
    260,029.84x = 358,734.32 × 158,038.87
  4. Step 4: Simplify right side
    260,029.84x = 56,693,966,167.92
  5. Step 5: Solve for x
    x = 56,693,966,167.92/260,029.84
  6. Step 6: Final answer
    x = 218,028.69

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1.5x scale

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.