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Finding the Fourth Proportional to 98,678, 148,038.86 and 46,058.76

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Solution

The fourth proportional to 98,678, 148,038.86 and 46,058.76 is: 69,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,678 : 148,038.86 = 46,058.76 : x
  2. Step 2: Convert to fraction form
    98,678/148,038.86 = 46,058.76/x
  3. Step 3: Cross multiply
    98,678x = 148,038.86 × 46,058.76
  4. Step 4: Simplify right side
    98,678x = 6,818,486,323.41
  5. Step 5: Solve for x
    x = 6,818,486,323.41/98,678
  6. Step 6: Final answer
    x = 69,098.34

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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.