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Finding the Fourth Proportional to 152,246.40, 210,095.69 and 84,266.16

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Solution

The fourth proportional to 152,246.40, 210,095.69 and 84,266.16 is: 116,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,246.40 : 210,095.69 = 84,266.16 : x
  2. Step 2: Convert to fraction form
    152,246.40/210,095.69 = 84,266.16/x
  3. Step 3: Cross multiply
    152,246.40x = 210,095.69 × 84,266.16
  4. Step 4: Simplify right side
    152,246.40x = 17,703,956,607.52
  5. Step 5: Solve for x
    x = 17,703,956,607.52/152,246.40
  6. Step 6: Final answer
    x = 116,284.89

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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.