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Finding the Fourth Proportional to 152,956.49, 211,106.99 and 114,387.80

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Solution

The fourth proportional to 152,956.49, 211,106.99 and 114,387.80 is: 157,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,956.49 : 211,106.99 = 114,387.80 : x
  2. Step 2: Convert to fraction form
    152,956.49/211,106.99 = 114,387.80/x
  3. Step 3: Cross multiply
    152,956.49x = 211,106.99 × 114,387.80
  4. Step 4: Simplify right side
    152,956.49x = 24,148,063,381.16
  5. Step 5: Solve for x
    x = 24,148,063,381.16/152,956.49
  6. Step 6: Final answer
    x = 157,875.38

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Why These Related Problems?

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