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Finding the Fourth Proportional to 210,131.60, 314,851.80 and 174,880.40

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Solution

The fourth proportional to 210,131.60, 314,851.80 and 174,880.40 is: 262,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,131.60 : 314,851.80 = 174,880.40 : x
  2. Step 2: Convert to fraction form
    210,131.60/314,851.80 = 174,880.40/x
  3. Step 3: Cross multiply
    210,131.60x = 314,851.80 × 174,880.40
  4. Step 4: Simplify right side
    210,131.60x = 55,061,408,724.72
  5. Step 5: Solve for x
    x = 55,061,408,724.72/210,131.60
  6. Step 6: Final answer
    x = 262,032.98

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