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Finding the Fourth Proportional to 348,543.81, 522,804.78 and 99,225.81

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Solution

The fourth proportional to 348,543.81, 522,804.78 and 99,225.81 is: 148,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,543.81 : 522,804.78 = 99,225.81 : x
  2. Step 2: Convert to fraction form
    348,543.81/522,804.78 = 99,225.81/x
  3. Step 3: Cross multiply
    348,543.81x = 522,804.78 × 99,225.81
  4. Step 4: Simplify right side
    348,543.81x = 51,875,727,767.37
  5. Step 5: Solve for x
    x = 51,875,727,767.37/348,543.81
  6. Step 6: Final answer
    x = 148,835.60

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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.