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Finding the Fourth Proportional to 127,752, 176,297.76 and 74,068.16

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Solution

The fourth proportional to 127,752, 176,297.76 and 74,068.16 is: 102,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,752 : 176,297.76 = 74,068.16 : x
  2. Step 2: Convert to fraction form
    127,752/176,297.76 = 74,068.16/x
  3. Step 3: Cross multiply
    127,752x = 176,297.76 × 74,068.16
  4. Step 4: Simplify right side
    127,752x = 13,058,050,695.32
  5. Step 5: Solve for x
    x = 13,058,050,695.32/127,752
  6. Step 6: Final answer
    x = 102,214.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.