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Finding the Fourth Proportional to 219,832.65, 329,748.98 and 160,783.65

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Solution

The fourth proportional to 219,832.65, 329,748.98 and 160,783.65 is: 241,175.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,832.65 : 329,748.98 = 160,783.65 : x
  2. Step 2: Convert to fraction form
    219,832.65/329,748.98 = 160,783.65/x
  3. Step 3: Cross multiply
    219,832.65x = 329,748.98 × 160,783.65
  4. Step 4: Simplify right side
    219,832.65x = 53,018,243,784.26
  5. Step 5: Solve for x
    x = 53,018,243,784.26/219,832.65
  6. Step 6: Final answer
    x = 241,175.48

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1.5x scale

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.