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Finding the Fourth Proportional to 152,810.68, 210,875.40 and 84,823.68

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Solution

The fourth proportional to 152,810.68, 210,875.40 and 84,823.68 is: 117,054.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,810.68 : 210,875.40 = 84,823.68 : x
  2. Step 2: Convert to fraction form
    152,810.68/210,875.40 = 84,823.68/x
  3. Step 3: Cross multiply
    152,810.68x = 210,875.40 × 84,823.68
  4. Step 4: Simplify right side
    152,810.68x = 17,887,227,449.47
  5. Step 5: Solve for x
    x = 17,887,227,449.47/152,810.68
  6. Step 6: Final answer
    x = 117,054.83

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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.