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Finding the Fourth Proportional to 180,075, 248,503.50 and 100,587

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Solution

The fourth proportional to 180,075, 248,503.50 and 100,587 is: 138,810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,075 : 248,503.50 = 100,587 : x
  2. Step 2: Convert to fraction form
    180,075/248,503.50 = 100,587/x
  3. Step 3: Cross multiply
    180,075x = 248,503.50 × 100,587
  4. Step 4: Simplify right side
    180,075x = 24,996,221,554.50
  5. Step 5: Solve for x
    x = 24,996,221,554.50/180,075
  6. Step 6: Final answer
    x = 138,810.06

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