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Finding the Fourth Proportional to 152,693.52, 210,713.12 and 84,710.16

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Solution

The fourth proportional to 152,693.52, 210,713.12 and 84,710.16 is: 116,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,693.52 : 210,713.12 = 84,710.16 : x
  2. Step 2: Convert to fraction form
    152,693.52/210,713.12 = 84,710.16/x
  3. Step 3: Cross multiply
    152,693.52x = 210,713.12 × 84,710.16
  4. Step 4: Simplify right side
    152,693.52x = 17,849,542,109.30
  5. Step 5: Solve for x
    x = 17,849,542,109.30/152,693.52
  6. Step 6: Final answer
    x = 116,897.84

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