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Finding the Fourth Proportional to 177,018.84, 265,389.48 and 120,718.98

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Solution

The fourth proportional to 177,018.84, 265,389.48 and 120,718.98 is: 180,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,018.84 : 265,389.48 = 120,718.98 : x
  2. Step 2: Convert to fraction form
    177,018.84/265,389.48 = 120,718.98/x
  3. Step 3: Cross multiply
    177,018.84x = 265,389.48 × 120,718.98
  4. Step 4: Simplify right side
    177,018.84x = 32,037,547,328.33
  5. Step 5: Solve for x
    x = 32,037,547,328.33/177,018.84
  6. Step 6: Final answer
    x = 180,983.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.