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Finding the Fourth Proportional to 114,152.32, 157,574.35 and 102,194.90

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Solution

The fourth proportional to 114,152.32, 157,574.35 and 102,194.90 is: 141,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,152.32 : 157,574.35 = 102,194.90 : x
  2. Step 2: Convert to fraction form
    114,152.32/157,574.35 = 102,194.90/x
  3. Step 3: Cross multiply
    114,152.32x = 157,574.35 × 102,194.90
  4. Step 4: Simplify right side
    114,152.32x = 16,103,294,940.82
  5. Step 5: Solve for x
    x = 16,103,294,940.82/114,152.32
  6. Step 6: Final answer
    x = 141,068.49

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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.