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Finding the Fourth Proportional to 152,184, 210,014.64 and 85,116

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Solution

The fourth proportional to 152,184, 210,014.64 and 85,116 is: 117,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,184 : 210,014.64 = 85,116 : x
  2. Step 2: Convert to fraction form
    152,184/210,014.64 = 85,116/x
  3. Step 3: Cross multiply
    152,184x = 210,014.64 × 85,116
  4. Step 4: Simplify right side
    152,184x = 17,875,606,098.24
  5. Step 5: Solve for x
    x = 17,875,606,098.24/152,184
  6. Step 6: Final answer
    x = 117,460.48

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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.