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Finding the Fourth Proportional to 176,553.04, 264,746.32 and 64,154

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Solution

The fourth proportional to 176,553.04, 264,746.32 and 64,154 is: 96,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,553.04 : 264,746.32 = 64,154 : x
  2. Step 2: Convert to fraction form
    176,553.04/264,746.32 = 64,154/x
  3. Step 3: Cross multiply
    176,553.04x = 264,746.32 × 64,154
  4. Step 4: Simplify right side
    176,553.04x = 16,984,535,413.28
  5. Step 5: Solve for x
    x = 16,984,535,413.28/176,553.04
  6. Step 6: Final answer
    x = 96,200.75

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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.