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Finding the Fourth Proportional to 151,411.60, 227,117.40 and 51,538.60

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Solution

The fourth proportional to 151,411.60, 227,117.40 and 51,538.60 is: 77,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,411.60 : 227,117.40 = 51,538.60 : x
  2. Step 2: Convert to fraction form
    151,411.60/227,117.40 = 51,538.60/x
  3. Step 3: Cross multiply
    151,411.60x = 227,117.40 × 51,538.60
  4. Step 4: Simplify right side
    151,411.60x = 11,705,312,831.64
  5. Step 5: Solve for x
    x = 11,705,312,831.64/151,411.60
  6. Step 6: Final answer
    x = 77,307.90

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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.