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Finding the Fourth Proportional to 161,526.16, 242,328.30 and 50,718.16

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Solution

The fourth proportional to 161,526.16, 242,328.30 and 50,718.16 is: 76,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,526.16 : 242,328.30 = 50,718.16 : x
  2. Step 2: Convert to fraction form
    161,526.16/242,328.30 = 50,718.16/x
  3. Step 3: Cross multiply
    161,526.16x = 242,328.30 × 50,718.16
  4. Step 4: Simplify right side
    161,526.16x = 12,290,445,491.93
  5. Step 5: Solve for x
    x = 12,290,445,491.93/161,526.16
  6. Step 6: Final answer
    x = 76,089.50

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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.