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Finding the Fourth Proportional to 292,159.71, 403,172.24 and 164,847.15

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Solution

The fourth proportional to 292,159.71, 403,172.24 and 164,847.15 is: 227,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159.71 : 403,172.24 = 164,847.15 : x
  2. Step 2: Convert to fraction form
    292,159.71/403,172.24 = 164,847.15/x
  3. Step 3: Cross multiply
    292,159.71x = 403,172.24 × 164,847.15
  4. Step 4: Simplify right side
    292,159.71x = 66,461,793,898.88
  5. Step 5: Solve for x
    x = 66,461,793,898.88/292,159.71
  6. Step 6: Final answer
    x = 227,484.46

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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.