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Finding the Fourth Proportional to 364,070.76, 546,105.67 and 97,831.28

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Solution

The fourth proportional to 364,070.76, 546,105.67 and 97,831.28 is: 146,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,070.76 : 546,105.67 = 97,831.28 : x
  2. Step 2: Convert to fraction form
    364,070.76/546,105.67 = 97,831.28/x
  3. Step 3: Cross multiply
    364,070.76x = 546,105.67 × 97,831.28
  4. Step 4: Simplify right side
    364,070.76x = 53,426,213,491.67
  5. Step 5: Solve for x
    x = 53,426,213,491.67/364,070.76
  6. Step 6: Final answer
    x = 146,746.78

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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.