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Finding the Fourth Proportional to 189,053.88, 283,547.82 and 70,700.76

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Solution

The fourth proportional to 189,053.88, 283,547.82 and 70,700.76 is: 106,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,053.88 : 283,547.82 = 70,700.76 : x
  2. Step 2: Convert to fraction form
    189,053.88/283,547.82 = 70,700.76/x
  3. Step 3: Cross multiply
    189,053.88x = 283,547.82 × 70,700.76
  4. Step 4: Simplify right side
    189,053.88x = 20,047,046,370.34
  5. Step 5: Solve for x
    x = 20,047,046,370.34/189,053.88
  6. Step 6: Final answer
    x = 106,038.80

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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.