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Finding the Fourth Proportional to 114,152.57, 157,574.70 and 102,195.15

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Solution

The fourth proportional to 114,152.57, 157,574.70 and 102,195.15 is: 141,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,152.57 : 157,574.70 = 102,195.15 : x
  2. Step 2: Convert to fraction form
    114,152.57/157,574.70 = 102,195.15/x
  3. Step 3: Cross multiply
    114,152.57x = 157,574.70 × 102,195.15
  4. Step 4: Simplify right side
    114,152.57x = 16,103,370,102.71
  5. Step 5: Solve for x
    x = 16,103,370,102.71/114,152.57
  6. Step 6: Final answer
    x = 141,068.84

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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.