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Finding the Fourth Proportional to 291,951.81, 402,824.57 and 164,602.80

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Solution

The fourth proportional to 291,951.81, 402,824.57 and 164,602.80 is: 227,113.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,951.81 : 402,824.57 = 164,602.80 : x
  2. Step 2: Convert to fraction form
    291,951.81/402,824.57 = 164,602.80/x
  3. Step 3: Cross multiply
    291,951.81x = 402,824.57 × 164,602.80
  4. Step 4: Simplify right side
    291,951.81x = 66,306,051,307.78
  5. Step 5: Solve for x
    x = 66,306,051,307.78/291,951.81
  6. Step 6: Final answer
    x = 227,113.00

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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.