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Finding the Fourth Proportional to 328,032.60, 492,164.10 and 141,101.40

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Solution

The fourth proportional to 328,032.60, 492,164.10 and 141,101.40 is: 211,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,032.60 : 492,164.10 = 141,101.40 : x
  2. Step 2: Convert to fraction form
    328,032.60/492,164.10 = 141,101.40/x
  3. Step 3: Cross multiply
    328,032.60x = 492,164.10 × 141,101.40
  4. Step 4: Simplify right side
    328,032.60x = 69,445,043,539.74
  5. Step 5: Solve for x
    x = 69,445,043,539.74/328,032.60
  6. Step 6: Final answer
    x = 211,701.65

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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.