Finding the Fourth Proportional to 135,166,306.84, 202,194,178.18 and 107,925,805.76
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Solution
The fourth proportional to 135,166,306.84, 202,194,178.18 and 107,925,805.76 is: 161,445,334.35
Step by Step Solution
- Step 1: Write the proportion equation
135,166,306.84 : 202,194,178.18 = 107,925,805.76 : x - Step 2: Convert to fraction form
135,166,306.84/202,194,178.18 = 107,925,805.76/x - Step 3: Cross multiply
135,166,306.84x = 202,194,178.18 × 107,925,805.76 - Step 4: Simplify right side
135,166,306.84x = 21,821,969,600,057,512 - Step 5: Solve for x
x = 21,821,969,600,057,512/135,166,306.84 - Step 6: Final answer
x = 161,445,334.35
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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.