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Finding the Fourth Proportional to 292,221.72, 438,345.08 and 114,767.20

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Solution

The fourth proportional to 292,221.72, 438,345.08 and 114,767.20 is: 172,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,221.72 : 438,345.08 = 114,767.20 : x
  2. Step 2: Convert to fraction form
    292,221.72/438,345.08 = 114,767.20/x
  3. Step 3: Cross multiply
    292,221.72x = 438,345.08 × 114,767.20
  4. Step 4: Simplify right side
    292,221.72x = 50,307,637,465.38
  5. Step 5: Solve for x
    x = 50,307,637,465.38/292,221.72
  6. Step 6: Final answer
    x = 172,155.71

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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.