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Finding the Fourth Proportional to 172,697.16, 238,290.48 and 96,214.32

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Solution

The fourth proportional to 172,697.16, 238,290.48 and 96,214.32 is: 132,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,697.16 : 238,290.48 = 96,214.32 : x
  2. Step 2: Convert to fraction form
    172,697.16/238,290.48 = 96,214.32/x
  3. Step 3: Cross multiply
    172,697.16x = 238,290.48 × 96,214.32
  4. Step 4: Simplify right side
    172,697.16x = 22,926,956,495.67
  5. Step 5: Solve for x
    x = 22,926,956,495.67/172,697.16
  6. Step 6: Final answer
    x = 132,758.16

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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.