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Finding the Fourth Proportional to 157,140.84, 235,748.16 and 51,959.76

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Solution

The fourth proportional to 157,140.84, 235,748.16 and 51,959.76 is: 77,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,140.84 : 235,748.16 = 51,959.76 : x
  2. Step 2: Convert to fraction form
    157,140.84/235,748.16 = 51,959.76/x
  3. Step 3: Cross multiply
    157,140.84x = 235,748.16 × 51,959.76
  4. Step 4: Simplify right side
    157,140.84x = 12,249,417,814.04
  5. Step 5: Solve for x
    x = 12,249,417,814.04/157,140.84
  6. Step 6: Final answer
    x = 77,951.84

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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.