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Finding the Fourth Proportional to 157,513.84, 235,266.72 and 142,497.92

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Solution

The fourth proportional to 157,513.84, 235,266.72 and 142,497.92 is: 212,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,513.84 : 235,266.72 = 142,497.92 : x
  2. Step 2: Convert to fraction form
    157,513.84/235,266.72 = 142,497.92/x
  3. Step 3: Cross multiply
    157,513.84x = 235,266.72 × 142,497.92
  4. Step 4: Simplify right side
    157,513.84x = 33,525,018,245.22
  5. Step 5: Solve for x
    x = 33,525,018,245.22/157,513.84
  6. Step 6: Final answer
    x = 212,838.56

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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.