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Finding the Fourth Proportional to 210,442.60, 315,548.70 and 85,642.60

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Solution

The fourth proportional to 210,442.60, 315,548.70 and 85,642.60 is: 128,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,442.60 : 315,548.70 = 85,642.60 : x
  2. Step 2: Convert to fraction form
    210,442.60/315,548.70 = 85,642.60/x
  3. Step 3: Cross multiply
    210,442.60x = 315,548.70 × 85,642.60
  4. Step 4: Simplify right side
    210,442.60x = 27,024,411,094.62
  5. Step 5: Solve for x
    x = 27,024,411,094.62/210,442.60
  6. Step 6: Final answer
    x = 128,417.02

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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.