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Finding the Fourth Proportional to 210,117.60, 289,951.02 and 119,461.14

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Solution

The fourth proportional to 210,117.60, 289,951.02 and 119,461.14 is: 164,849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,117.60 : 289,951.02 = 119,461.14 : x
  2. Step 2: Convert to fraction form
    210,117.60/289,951.02 = 119,461.14/x
  3. Step 3: Cross multiply
    210,117.60x = 289,951.02 × 119,461.14
  4. Step 4: Simplify right side
    210,117.60x = 34,637,879,393.36
  5. Step 5: Solve for x
    x = 34,637,879,393.36/210,117.60
  6. Step 6: Final answer
    x = 164,849.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.