Finding the Fourth Proportional to 242,122,122.74, 363,180,790.71 and 110,927,184.41
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Solution
The fourth proportional to 242,122,122.74, 363,180,790.71 and 110,927,184.41 is: 166,389,680.09
Step by Step Solution
- Step 1: Write the proportion equation
242,122,122.74 : 363,180,790.71 = 110,927,184.41 : x - Step 2: Convert to fraction form
242,122,122.74/363,180,790.71 = 110,927,184.41/x - Step 3: Cross multiply
242,122,122.74x = 363,180,790.71 × 110,927,184.41 - Step 4: Simplify right side
242,122,122.74x = 40,286,622,545,257,784 - Step 5: Solve for x
x = 40,286,622,545,257,784/242,122,122.74 - Step 6: Final answer
x = 166,389,680.09
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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.