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Finding the Fourth Proportional to 260,096.12, 358,947.24 and 152,697.32

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Solution

The fourth proportional to 260,096.12, 358,947.24 and 152,697.32 is: 210,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,096.12 : 358,947.24 = 152,697.32 : x
  2. Step 2: Convert to fraction form
    260,096.12/358,947.24 = 152,697.32/x
  3. Step 3: Cross multiply
    260,096.12x = 358,947.24 × 152,697.32
  4. Step 4: Simplify right side
    260,096.12x = 54,810,281,569.40
  5. Step 5: Solve for x
    x = 54,810,281,569.40/260,096.12
  6. Step 6: Final answer
    x = 210,730.87

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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.