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Finding the Fourth Proportional to 97,810.94, 147,470.73 and 97,203.75

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Solution

The fourth proportional to 97,810.94, 147,470.73 and 97,203.75 is: 146,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,810.94 : 147,470.73 = 97,203.75 : x
  2. Step 2: Convert to fraction form
    97,810.94/147,470.73 = 97,203.75/x
  3. Step 3: Cross multiply
    97,810.94x = 147,470.73 × 97,203.75
  4. Step 4: Simplify right side
    97,810.94x = 14,334,707,053.71
  5. Step 5: Solve for x
    x = 14,334,707,053.71/97,810.94
  6. Step 6: Final answer
    x = 146,555.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.