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Finding the Fourth Proportional to 152,280.06, 210,143.43 and 84,297

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Solution

The fourth proportional to 152,280.06, 210,143.43 and 84,297 is: 116,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,280.06 : 210,143.43 = 84,297 : x
  2. Step 2: Convert to fraction form
    152,280.06/210,143.43 = 84,297/x
  3. Step 3: Cross multiply
    152,280.06x = 210,143.43 × 84,297
  4. Step 4: Simplify right side
    152,280.06x = 17,714,460,718.71
  5. Step 5: Solve for x
    x = 17,714,460,718.71/152,280.06
  6. Step 6: Final answer
    x = 116,328.17

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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.