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Finding the Fourth Proportional to 153,657.42, 229,461.74 and 145,784.22

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Solution

The fourth proportional to 153,657.42, 229,461.74 and 145,784.22 is: 217,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,657.42 : 229,461.74 = 145,784.22 : x
  2. Step 2: Convert to fraction form
    153,657.42/229,461.74 = 145,784.22/x
  3. Step 3: Cross multiply
    153,657.42x = 229,461.74 × 145,784.22
  4. Step 4: Simplify right side
    153,657.42x = 33,451,900,056.82
  5. Step 5: Solve for x
    x = 33,451,900,056.82/153,657.42
  6. Step 6: Final answer
    x = 217,704.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.