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Finding the Fourth Proportional to 189,547.40, 283,946.70 and 123,033.80

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Solution

The fourth proportional to 189,547.40, 283,946.70 and 123,033.80 is: 184,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,547.40 : 283,946.70 = 123,033.80 : x
  2. Step 2: Convert to fraction form
    189,547.40/283,946.70 = 123,033.80/x
  3. Step 3: Cross multiply
    189,547.40x = 283,946.70 × 123,033.80
  4. Step 4: Simplify right side
    189,547.40x = 34,935,041,498.46
  5. Step 5: Solve for x
    x = 34,935,041,498.46/189,547.40
  6. Step 6: Final answer
    x = 184,307.68

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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.