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Finding the Fourth Proportional to 154,714.84, 232,075.50 and 49,533.51

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Solution

The fourth proportional to 154,714.84, 232,075.50 and 49,533.51 is: 74,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,714.84 : 232,075.50 = 49,533.51 : x
  2. Step 2: Convert to fraction form
    154,714.84/232,075.50 = 49,533.51/x
  3. Step 3: Cross multiply
    154,714.84x = 232,075.50 × 49,533.51
  4. Step 4: Simplify right side
    154,714.84x = 11,495,514,100.01
  5. Step 5: Solve for x
    x = 11,495,514,100.01/154,714.84
  6. Step 6: Final answer
    x = 74,301.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.