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Finding the Fourth Proportional to 153,762.44, 230,653.38 and 64,999.40

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Solution

The fourth proportional to 153,762.44, 230,653.38 and 64,999.40 is: 97,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,762.44 : 230,653.38 = 64,999.40 : x
  2. Step 2: Convert to fraction form
    153,762.44/230,653.38 = 64,999.40/x
  3. Step 3: Cross multiply
    153,762.44x = 230,653.38 × 64,999.40
  4. Step 4: Simplify right side
    153,762.44x = 14,992,331,307.97
  5. Step 5: Solve for x
    x = 14,992,331,307.97/153,762.44
  6. Step 6: Final answer
    x = 97,503.21

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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.