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Finding the Fourth Proportional to 152,264.06, 210,119.14 and 84,284

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Solution

The fourth proportional to 152,264.06, 210,119.14 and 84,284 is: 116,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,264.06 : 210,119.14 = 84,284 : x
  2. Step 2: Convert to fraction form
    152,264.06/210,119.14 = 84,284/x
  3. Step 3: Cross multiply
    152,264.06x = 210,119.14 × 84,284
  4. Step 4: Simplify right side
    152,264.06x = 17,709,681,595.76
  5. Step 5: Solve for x
    x = 17,709,681,595.76/152,264.06
  6. Step 6: Final answer
    x = 116,309.01

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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.