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Finding the Fourth Proportional to 251,547.96, 347,035.54 and 160,883

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Solution

The fourth proportional to 251,547.96, 347,035.54 and 160,883 is: 221,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,547.96 : 347,035.54 = 160,883 : x
  2. Step 2: Convert to fraction form
    251,547.96/347,035.54 = 160,883/x
  3. Step 3: Cross multiply
    251,547.96x = 347,035.54 × 160,883
  4. Step 4: Simplify right side
    251,547.96x = 55,832,118,781.82
  5. Step 5: Solve for x
    x = 55,832,118,781.82/251,547.96
  6. Step 6: Final answer
    x = 221,954.17

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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.