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Finding the Fourth Proportional to 151,646.53, 227,461.60 and 46,465.81

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Solution

The fourth proportional to 151,646.53, 227,461.60 and 46,465.81 is: 69,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,646.53 : 227,461.60 = 46,465.81 : x
  2. Step 2: Convert to fraction form
    151,646.53/227,461.60 = 46,465.81/x
  3. Step 3: Cross multiply
    151,646.53x = 227,461.60 × 46,465.81
  4. Step 4: Simplify right side
    151,646.53x = 10,569,187,487.90
  5. Step 5: Solve for x
    x = 10,569,187,487.90/151,646.53
  6. Step 6: Final answer
    x = 69,696.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.