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Finding the Fourth Proportional to 141,830.60, 212,745.90 and 116,461.40

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Solution

The fourth proportional to 141,830.60, 212,745.90 and 116,461.40 is: 174,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,830.60 : 212,745.90 = 116,461.40 : x
  2. Step 2: Convert to fraction form
    141,830.60/212,745.90 = 116,461.40/x
  3. Step 3: Cross multiply
    141,830.60x = 212,745.90 × 116,461.40
  4. Step 4: Simplify right side
    141,830.60x = 24,776,685,358.26
  5. Step 5: Solve for x
    x = 24,776,685,358.26/141,830.60
  6. Step 6: Final answer
    x = 174,692.10

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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.