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Finding the Fourth Proportional to 152,534.71, 210,475.80 and 84,551.66

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Solution

The fourth proportional to 152,534.71, 210,475.80 and 84,551.66 is: 116,669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,534.71 : 210,475.80 = 84,551.66 : x
  2. Step 2: Convert to fraction form
    152,534.71/210,475.80 = 84,551.66/x
  3. Step 3: Cross multiply
    152,534.71x = 210,475.80 × 84,551.66
  4. Step 4: Simplify right side
    152,534.71x = 17,796,078,134.36
  5. Step 5: Solve for x
    x = 17,796,078,134.36/152,534.71
  6. Step 6: Final answer
    x = 116,669.04

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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.