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Finding the Fourth Proportional to 114,435.84, 157,919.04 and 64,133.76

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Solution

The fourth proportional to 114,435.84, 157,919.04 and 64,133.76 is: 88,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,435.84 : 157,919.04 = 64,133.76 : x
  2. Step 2: Convert to fraction form
    114,435.84/157,919.04 = 64,133.76/x
  3. Step 3: Cross multiply
    114,435.84x = 157,919.04 × 64,133.76
  4. Step 4: Simplify right side
    114,435.84x = 10,127,941,810.79
  5. Step 5: Solve for x
    x = 10,127,941,810.79/114,435.84
  6. Step 6: Final answer
    x = 88,503.23

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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.