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Finding the Fourth Proportional to 210,345.70, 314,862.45 and 151,296.70

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Solution

The fourth proportional to 210,345.70, 314,862.45 and 151,296.70 is: 226,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,345.70 : 314,862.45 = 151,296.70 : x
  2. Step 2: Convert to fraction form
    210,345.70/314,862.45 = 151,296.70/x
  3. Step 3: Cross multiply
    210,345.70x = 314,862.45 × 151,296.70
  4. Step 4: Simplify right side
    210,345.70x = 47,637,649,638.92
  5. Step 5: Solve for x
    x = 47,637,649,638.92/210,345.70
  6. Step 6: Final answer
    x = 226,473.13

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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.