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Finding the Fourth Proportional to 152,070.11, 209,853 and 84,085.35

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Solution

The fourth proportional to 152,070.11, 209,853 and 84,085.35 is: 116,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,070.11 : 209,853 = 84,085.35 : x
  2. Step 2: Convert to fraction form
    152,070.11/209,853 = 84,085.35/x
  3. Step 3: Cross multiply
    152,070.11x = 209,853 × 84,085.35
  4. Step 4: Simplify right side
    152,070.11x = 17,645,562,953.55
  5. Step 5: Solve for x
    x = 17,645,562,953.55/152,070.11
  6. Step 6: Final answer
    x = 116,035.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.