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Finding the Fourth Proportional to 235,448.60, 353,165.10 and 102,329.02

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Solution

The fourth proportional to 235,448.60, 353,165.10 and 102,329.02 is: 153,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,448.60 : 353,165.10 = 102,329.02 : x
  2. Step 2: Convert to fraction form
    235,448.60/353,165.10 = 102,329.02/x
  3. Step 3: Cross multiply
    235,448.60x = 353,165.10 × 102,329.02
  4. Step 4: Simplify right side
    235,448.60x = 36,139,038,581.20
  5. Step 5: Solve for x
    x = 36,139,038,581.20/235,448.60
  6. Step 6: Final answer
    x = 153,490.14

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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.