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Finding the Fourth Proportional to 261,621.60, 360,927.40 and 164,653.53

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Solution

The fourth proportional to 261,621.60, 360,927.40 and 164,653.53 is: 227,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,621.60 : 360,927.40 = 164,653.53 : x
  2. Step 2: Convert to fraction form
    261,621.60/360,927.40 = 164,653.53/x
  3. Step 3: Cross multiply
    261,621.60x = 360,927.40 × 164,653.53
  4. Step 4: Simplify right side
    261,621.60x = 59,427,970,483.72
  5. Step 5: Solve for x
    x = 59,427,970,483.72/261,621.60
  6. Step 6: Final answer
    x = 227,152.39

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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.