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Finding the Fourth Proportional to 102,497.40, 153,699.93 and 43,302.60

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Solution

The fourth proportional to 102,497.40, 153,699.93 and 43,302.60 is: 64,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,497.40 : 153,699.93 = 43,302.60 : x
  2. Step 2: Convert to fraction form
    102,497.40/153,699.93 = 43,302.60/x
  3. Step 3: Cross multiply
    102,497.40x = 153,699.93 × 43,302.60
  4. Step 4: Simplify right side
    102,497.40x = 6,655,606,588.82
  5. Step 5: Solve for x
    x = 6,655,606,588.82/102,497.40
  6. Step 6: Final answer
    x = 64,934.39

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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.