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Finding the Fourth Proportional to 114,569.70, 171,854.55 and 99,807.45

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Solution

The fourth proportional to 114,569.70, 171,854.55 and 99,807.45 is: 149,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,569.70 : 171,854.55 = 99,807.45 : x
  2. Step 2: Convert to fraction form
    114,569.70/171,854.55 = 99,807.45/x
  3. Step 3: Cross multiply
    114,569.70x = 171,854.55 × 99,807.45
  4. Step 4: Simplify right side
    114,569.70x = 17,152,364,406.40
  5. Step 5: Solve for x
    x = 17,152,364,406.40/114,569.70
  6. Step 6: Final answer
    x = 149,711.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.