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Finding the Fourth Proportional to 141,106.86, 194,726.88 and 76,574.70

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Solution

The fourth proportional to 141,106.86, 194,726.88 and 76,574.70 is: 105,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,106.86 : 194,726.88 = 76,574.70 : x
  2. Step 2: Convert to fraction form
    141,106.86/194,726.88 = 76,574.70/x
  3. Step 3: Cross multiply
    141,106.86x = 194,726.88 × 76,574.70
  4. Step 4: Simplify right side
    141,106.86x = 14,911,152,417.94
  5. Step 5: Solve for x
    x = 14,911,152,417.94/141,106.86
  6. Step 6: Final answer
    x = 105,672.77

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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.