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Finding the Fourth Proportional to 102,312.43, 153,564.63 and 62,946.43

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Solution

The fourth proportional to 102,312.43, 153,564.63 and 62,946.43 is: 94,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,312.43 : 153,564.63 = 62,946.43 : x
  2. Step 2: Convert to fraction form
    102,312.43/153,564.63 = 62,946.43/x
  3. Step 3: Cross multiply
    102,312.43x = 153,564.63 × 62,946.43
  4. Step 4: Simplify right side
    102,312.43x = 9,666,345,232.77
  5. Step 5: Solve for x
    x = 9,666,345,232.77/102,312.43
  6. Step 6: Final answer
    x = 94,478.70

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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.