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Finding the Fourth Proportional to 145,492.36, 200,777.53 and 81,830.16

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Solution

The fourth proportional to 145,492.36, 200,777.53 and 81,830.16 is: 112,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,492.36 : 200,777.53 = 81,830.16 : x
  2. Step 2: Convert to fraction form
    145,492.36/200,777.53 = 81,830.16/x
  3. Step 3: Cross multiply
    145,492.36x = 200,777.53 × 81,830.16
  4. Step 4: Simplify right side
    145,492.36x = 16,429,656,493.21
  5. Step 5: Solve for x
    x = 16,429,656,493.21/145,492.36
  6. Step 6: Final answer
    x = 112,924.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.