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Finding the Fourth Proportional to 235,466.60, 353,212.14 and 77,707.35

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Solution

The fourth proportional to 235,466.60, 353,212.14 and 77,707.35 is: 116,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,466.60 : 353,212.14 = 77,707.35 : x
  2. Step 2: Convert to fraction form
    235,466.60/353,212.14 = 77,707.35/x
  3. Step 3: Cross multiply
    235,466.60x = 353,212.14 × 77,707.35
  4. Step 4: Simplify right side
    235,466.60x = 27,447,179,678.63
  5. Step 5: Solve for x
    x = 27,447,179,678.63/235,466.60
  6. Step 6: Final answer
    x = 116,565.07

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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.