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Finding the Fourth Proportional to 173,830.70, 260,746.05 and 134,464.70

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Solution

The fourth proportional to 173,830.70, 260,746.05 and 134,464.70 is: 201,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,830.70 : 260,746.05 = 134,464.70 : x
  2. Step 2: Convert to fraction form
    173,830.70/260,746.05 = 134,464.70/x
  3. Step 3: Cross multiply
    173,830.70x = 260,746.05 × 134,464.70
  4. Step 4: Simplify right side
    173,830.70x = 35,061,139,389.44
  5. Step 5: Solve for x
    x = 35,061,139,389.44/173,830.70
  6. Step 6: Final answer
    x = 201,697.05

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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.