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Finding the Fourth Proportional to 316,746.84, 475,070.74 and 103,513.06

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Solution

The fourth proportional to 316,746.84, 475,070.74 and 103,513.06 is: 155,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,746.84 : 475,070.74 = 103,513.06 : x
  2. Step 2: Convert to fraction form
    316,746.84/475,070.74 = 103,513.06/x
  3. Step 3: Cross multiply
    316,746.84x = 475,070.74 × 103,513.06
  4. Step 4: Simplify right side
    316,746.84x = 49,176,026,013.86
  5. Step 5: Solve for x
    x = 49,176,026,013.86/316,746.84
  6. Step 6: Final answer
    x = 155,253.41

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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.