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Finding the Fourth Proportional to 117,106, 175,681.20 and 46,990.84

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Solution

The fourth proportional to 117,106, 175,681.20 and 46,990.84 is: 70,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,106 : 175,681.20 = 46,990.84 : x
  2. Step 2: Convert to fraction form
    117,106/175,681.20 = 46,990.84/x
  3. Step 3: Cross multiply
    117,106x = 175,681.20 × 46,990.84
  4. Step 4: Simplify right side
    117,106x = 8,255,407,160.21
  5. Step 5: Solve for x
    x = 8,255,407,160.21/117,106
  6. Step 6: Final answer
    x = 70,495.17

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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.