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Finding the Fourth Proportional to 302,881.60, 454,322.40 and 103,427.20

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Solution

The fourth proportional to 302,881.60, 454,322.40 and 103,427.20 is: 155,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,881.60 : 454,322.40 = 103,427.20 : x
  2. Step 2: Convert to fraction form
    302,881.60/454,322.40 = 103,427.20/x
  3. Step 3: Cross multiply
    302,881.60x = 454,322.40 × 103,427.20
  4. Step 4: Simplify right side
    302,881.60x = 46,989,293,729.28
  5. Step 5: Solve for x
    x = 46,989,293,729.28/302,881.60
  6. Step 6: Final answer
    x = 155,140.80

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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.