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Finding the Fourth Proportional to 224,720.96, 310,113.08 and 122,746.50

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Solution

The fourth proportional to 224,720.96, 310,113.08 and 122,746.50 is: 169,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,720.96 : 310,113.08 = 122,746.50 : x
  2. Step 2: Convert to fraction form
    224,720.96/310,113.08 = 122,746.50/x
  3. Step 3: Cross multiply
    224,720.96x = 310,113.08 × 122,746.50
  4. Step 4: Simplify right side
    224,720.96x = 38,065,295,174.22
  5. Step 5: Solve for x
    x = 38,065,295,174.22/224,720.96
  6. Step 6: Final answer
    x = 169,389.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.