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Finding the Fourth Proportional to 291,927.16, 402,873.51 and 164,600.02

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Solution

The fourth proportional to 291,927.16, 402,873.51 and 164,600.02 is: 227,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,927.16 : 402,873.51 = 164,600.02 : x
  2. Step 2: Convert to fraction form
    291,927.16/402,873.51 = 164,600.02/x
  3. Step 3: Cross multiply
    291,927.16x = 402,873.51 × 164,600.02
  4. Step 4: Simplify right side
    291,927.16x = 66,312,987,803.47
  5. Step 5: Solve for x
    x = 66,312,987,803.47/291,927.16
  6. Step 6: Final answer
    x = 227,155.94

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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.