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Finding the Fourth Proportional to 157,300.84, 235,986.30 and 57,460.88

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Solution

The fourth proportional to 157,300.84, 235,986.30 and 57,460.88 is: 86,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,300.84 : 235,986.30 = 57,460.88 : x
  2. Step 2: Convert to fraction form
    157,300.84/235,986.30 = 57,460.88/x
  3. Step 3: Cross multiply
    157,300.84x = 235,986.30 × 57,460.88
  4. Step 4: Simplify right side
    157,300.84x = 13,559,980,465.94
  5. Step 5: Solve for x
    x = 13,559,980,465.94/157,300.84
  6. Step 6: Final answer
    x = 86,204.12

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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.